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Finding the Fourth Proportional to 718.32, 990.96 and 456.24

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Solution

The fourth proportional to 718.32, 990.96 and 456.24 is: 629.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    718.32 : 990.96 = 456.24 : x
  2. Step 2: Convert to fraction form
    718.32/990.96 = 456.24/x
  3. Step 3: Cross multiply
    718.32x = 990.96 × 456.24
  4. Step 4: Simplify right side
    718.32x = 452,115.59
  5. Step 5: Solve for x
    x = 452,115.59/718.32
  6. Step 6: Final answer
    x = 629.41

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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.