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Finding the Fourth Proportional to 524.43, 723.70 and 314.72

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Solution

The fourth proportional to 524.43, 723.70 and 314.72 is: 434.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    524.43 : 723.70 = 314.72 : x
  2. Step 2: Convert to fraction form
    524.43/723.70 = 314.72/x
  3. Step 3: Cross multiply
    524.43x = 723.70 × 314.72
  4. Step 4: Simplify right side
    524.43x = 227,762.86
  5. Step 5: Solve for x
    x = 227,762.86/524.43
  6. Step 6: Final answer
    x = 434.31

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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.