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Finding the Fourth Proportional to 625.51, 937.47 and 458.53

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Solution

The fourth proportional to 625.51, 937.47 and 458.53 is: 687.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    625.51 : 937.47 = 458.53 : x
  2. Step 2: Convert to fraction form
    625.51/937.47 = 458.53/x
  3. Step 3: Cross multiply
    625.51x = 937.47 × 458.53
  4. Step 4: Simplify right side
    625.51x = 429,858.12
  5. Step 5: Solve for x
    x = 429,858.12/625.51
  6. Step 6: Final answer
    x = 687.21

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.