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Finding the Fourth Proportional to 625, 937.64 and 283

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Solution

The fourth proportional to 625, 937.64 and 283 is: 424.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    625 : 937.64 = 283 : x
  2. Step 2: Convert to fraction form
    625/937.64 = 283/x
  3. Step 3: Cross multiply
    625x = 937.64 × 283
  4. Step 4: Simplify right side
    625x = 265,352.12
  5. Step 5: Solve for x
    x = 265,352.12/625
  6. Step 6: Final answer
    x = 424.56

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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.