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Finding the Fourth Proportional to 717.90, 991.36 and 456

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Solution

The fourth proportional to 717.90, 991.36 and 456 is: 629.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    717.90 : 991.36 = 456 : x
  2. Step 2: Convert to fraction form
    717.90/991.36 = 456/x
  3. Step 3: Cross multiply
    717.90x = 991.36 × 456
  4. Step 4: Simplify right side
    717.90x = 452,060.16
  5. Step 5: Solve for x
    x = 452,060.16/717.90
  6. Step 6: Final answer
    x = 629.70

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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.