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Finding the Fourth Proportional to 625.85, 937.74 and 442.91

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Solution

The fourth proportional to 625.85, 937.74 and 442.91 is: 663.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    625.85 : 937.74 = 442.91 : x
  2. Step 2: Convert to fraction form
    625.85/937.74 = 442.91/x
  3. Step 3: Cross multiply
    625.85x = 937.74 × 442.91
  4. Step 4: Simplify right side
    625.85x = 415,334.42
  5. Step 5: Solve for x
    x = 415,334.42/625.85
  6. Step 6: Final answer
    x = 663.64

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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.