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Finding the Fourth Proportional to 503.68, 756.24 and 491.68

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Solution

The fourth proportional to 503.68, 756.24 and 491.68 is: 738.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    503.68 : 756.24 = 491.68 : x
  2. Step 2: Convert to fraction form
    503.68/756.24 = 491.68/x
  3. Step 3: Cross multiply
    503.68x = 756.24 × 491.68
  4. Step 4: Simplify right side
    503.68x = 371,828.08
  5. Step 5: Solve for x
    x = 371,828.08/503.68
  6. Step 6: Final answer
    x = 738.22

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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.