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Finding the Fourth Proportional to 716.24, 987.36 and 467.12

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Solution

The fourth proportional to 716.24, 987.36 and 467.12 is: 643.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    716.24 : 987.36 = 467.12 : x
  2. Step 2: Convert to fraction form
    716.24/987.36 = 467.12/x
  3. Step 3: Cross multiply
    716.24x = 987.36 × 467.12
  4. Step 4: Simplify right side
    716.24x = 461,215.60
  5. Step 5: Solve for x
    x = 461,215.60/716.24
  6. Step 6: Final answer
    x = 643.94

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.