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Finding the Fourth Proportional to 624.93, 937.59 and 442.68

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Solution

The fourth proportional to 624.93, 937.59 and 442.68 is: 664.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    624.93 : 937.59 = 442.68 : x
  2. Step 2: Convert to fraction form
    624.93/937.59 = 442.68/x
  3. Step 3: Cross multiply
    624.93x = 937.59 × 442.68
  4. Step 4: Simplify right side
    624.93x = 415,052.34
  5. Step 5: Solve for x
    x = 415,052.34/624.93
  6. Step 6: Final answer
    x = 664.16

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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.