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Finding the Fourth Proportional to 501.44, 752.13 and 462.80

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Solution

The fourth proportional to 501.44, 752.13 and 462.80 is: 694.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    501.44 : 752.13 = 462.80 : x
  2. Step 2: Convert to fraction form
    501.44/752.13 = 462.80/x
  3. Step 3: Cross multiply
    501.44x = 752.13 × 462.80
  4. Step 4: Simplify right side
    501.44x = 348,085.76
  5. Step 5: Solve for x
    x = 348,085.76/501.44
  6. Step 6: Final answer
    x = 694.17

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.