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Finding the Fourth Proportional to 524.85, 723.45 and 462.28

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Solution

The fourth proportional to 524.85, 723.45 and 462.28 is: 637.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    524.85 : 723.45 = 462.28 : x
  2. Step 2: Convert to fraction form
    524.85/723.45 = 462.28/x
  3. Step 3: Cross multiply
    524.85x = 723.45 × 462.28
  4. Step 4: Simplify right side
    524.85x = 334,436.47
  5. Step 5: Solve for x
    x = 334,436.47/524.85
  6. Step 6: Final answer
    x = 637.20

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.