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Finding the Fourth Proportional to 561.60, 774.90 and 430.38

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Solution

The fourth proportional to 561.60, 774.90 and 430.38 is: 593.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    561.60 : 774.90 = 430.38 : x
  2. Step 2: Convert to fraction form
    561.60/774.90 = 430.38/x
  3. Step 3: Cross multiply
    561.60x = 774.90 × 430.38
  4. Step 4: Simplify right side
    561.60x = 333,501.46
  5. Step 5: Solve for x
    x = 333,501.46/561.60
  6. Step 6: Final answer
    x = 593.84

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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.