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Finding the Fourth Proportional to 524.04, 724.09 and 430.71

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Solution

The fourth proportional to 524.04, 724.09 and 430.71 is: 595.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    524.04 : 724.09 = 430.71 : x
  2. Step 2: Convert to fraction form
    524.04/724.09 = 430.71/x
  3. Step 3: Cross multiply
    524.04x = 724.09 × 430.71
  4. Step 4: Simplify right side
    524.04x = 311,874.44
  5. Step 5: Solve for x
    x = 311,874.44/524.04
  6. Step 6: Final answer
    x = 595.13

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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.