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Finding the Fourth Proportional to 598.24, 824.97 and 430.30

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Solution

The fourth proportional to 598.24, 824.97 and 430.30 is: 593.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    598.24 : 824.97 = 430.30 : x
  2. Step 2: Convert to fraction form
    598.24/824.97 = 430.30/x
  3. Step 3: Cross multiply
    598.24x = 824.97 × 430.30
  4. Step 4: Simplify right side
    598.24x = 354,984.59
  5. Step 5: Solve for x
    x = 354,984.59/598.24
  6. Step 6: Final answer
    x = 593.38

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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.