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Finding the Fourth Proportional to 501.53, 748.62 and 465.39

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Solution

The fourth proportional to 501.53, 748.62 and 465.39 is: 694.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    501.53 : 748.62 = 465.39 : x
  2. Step 2: Convert to fraction form
    501.53/748.62 = 465.39/x
  3. Step 3: Cross multiply
    501.53x = 748.62 × 465.39
  4. Step 4: Simplify right side
    501.53x = 348,400.26
  5. Step 5: Solve for x
    x = 348,400.26/501.53
  6. Step 6: Final answer
    x = 694.68

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.