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Finding the Fourth Proportional to 720.17, 993.86 and 468.15

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Solution

The fourth proportional to 720.17, 993.86 and 468.15 is: 646.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    720.17 : 993.86 = 468.15 : x
  2. Step 2: Convert to fraction form
    720.17/993.86 = 468.15/x
  3. Step 3: Cross multiply
    720.17x = 993.86 × 468.15
  4. Step 4: Simplify right side
    720.17x = 465,273.22
  5. Step 5: Solve for x
    x = 465,273.22/720.17
  6. Step 6: Final answer
    x = 646.06

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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.