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Finding the Fourth Proportional to 372.80, 558.40 and 295.68

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Solution

The fourth proportional to 372.80, 558.40 and 295.68 is: 442.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    372.80 : 558.40 = 295.68 : x
  2. Step 2: Convert to fraction form
    372.80/558.40 = 295.68/x
  3. Step 3: Cross multiply
    372.80x = 558.40 × 295.68
  4. Step 4: Simplify right side
    372.80x = 165,107.71
  5. Step 5: Solve for x
    x = 165,107.71/372.80
  6. Step 6: Final answer
    x = 442.89

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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.