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Finding the Fourth Proportional to 524.86, 724.48 and 347.88

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Solution

The fourth proportional to 524.86, 724.48 and 347.88 is: 480.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    524.86 : 724.48 = 347.88 : x
  2. Step 2: Convert to fraction form
    524.86/724.48 = 347.88/x
  3. Step 3: Cross multiply
    524.86x = 724.48 × 347.88
  4. Step 4: Simplify right side
    524.86x = 252,032.10
  5. Step 5: Solve for x
    x = 252,032.10/524.86
  6. Step 6: Final answer
    x = 480.19

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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.