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Finding the Fourth Proportional to 624.90, 937.80 and 442.56

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Solution

The fourth proportional to 624.90, 937.80 and 442.56 is: 664.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    624.90 : 937.80 = 442.56 : x
  2. Step 2: Convert to fraction form
    624.90/937.80 = 442.56/x
  3. Step 3: Cross multiply
    624.90x = 937.80 × 442.56
  4. Step 4: Simplify right side
    624.90x = 415,032.77
  5. Step 5: Solve for x
    x = 415,032.77/624.90
  6. Step 6: Final answer
    x = 664.16

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