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Finding the Fourth Proportional to 720.24, 993.62 and 471.13

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Solution

The fourth proportional to 720.24, 993.62 and 471.13 is: 649.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    720.24 : 993.62 = 471.13 : x
  2. Step 2: Convert to fraction form
    720.24/993.62 = 471.13/x
  3. Step 3: Cross multiply
    720.24x = 993.62 × 471.13
  4. Step 4: Simplify right side
    720.24x = 468,119.22
  5. Step 5: Solve for x
    x = 468,119.22/720.24
  6. Step 6: Final answer
    x = 649.95

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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.