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Finding the Fourth Proportional to 500.92, 689.94 and 430.84

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Solution

The fourth proportional to 500.92, 689.94 and 430.84 is: 593.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    500.92 : 689.94 = 430.84 : x
  2. Step 2: Convert to fraction form
    500.92/689.94 = 430.84/x
  3. Step 3: Cross multiply
    500.92x = 689.94 × 430.84
  4. Step 4: Simplify right side
    500.92x = 297,253.75
  5. Step 5: Solve for x
    x = 297,253.75/500.92
  6. Step 6: Final answer
    x = 593.42

Related Problems

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Double scale
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Similar ratio
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.