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Finding the Fourth Proportional to 291.60, 439.45 and 285.90

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Solution

The fourth proportional to 291.60, 439.45 and 285.90 is: 430.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    291.60 : 439.45 = 285.90 : x
  2. Step 2: Convert to fraction form
    291.60/439.45 = 285.90/x
  3. Step 3: Cross multiply
    291.60x = 439.45 × 285.90
  4. Step 4: Simplify right side
    291.60x = 125,640.90
  5. Step 5: Solve for x
    x = 125,640.90/291.60
  6. Step 6: Final answer
    x = 430.87

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.