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Finding the Fourth Proportional to 716, 988.48 and 454.56

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Solution

The fourth proportional to 716, 988.48 and 454.56 is: 627.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    716 : 988.48 = 454.56 : x
  2. Step 2: Convert to fraction form
    716/988.48 = 454.56/x
  3. Step 3: Cross multiply
    716x = 988.48 × 454.56
  4. Step 4: Simplify right side
    716x = 449,323.47
  5. Step 5: Solve for x
    x = 449,323.47/716
  6. Step 6: Final answer
    x = 627.55

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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.