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Finding the Fourth Proportional to 629.76, 870.02 and 537.46

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Solution

The fourth proportional to 629.76, 870.02 and 537.46 is: 742.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    629.76 : 870.02 = 537.46 : x
  2. Step 2: Convert to fraction form
    629.76/870.02 = 537.46/x
  3. Step 3: Cross multiply
    629.76x = 870.02 × 537.46
  4. Step 4: Simplify right side
    629.76x = 467,600.95
  5. Step 5: Solve for x
    x = 467,600.95/629.76
  6. Step 6: Final answer
    x = 742.51

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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.