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Finding the Fourth Proportional to 458.45, 686.75 and 284.70

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Solution

The fourth proportional to 458.45, 686.75 and 284.70 is: 426.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    458.45 : 686.75 = 284.70 : x
  2. Step 2: Convert to fraction form
    458.45/686.75 = 284.70/x
  3. Step 3: Cross multiply
    458.45x = 686.75 × 284.70
  4. Step 4: Simplify right side
    458.45x = 195,518.44
  5. Step 5: Solve for x
    x = 195,518.44/458.45
  6. Step 6: Final answer
    x = 426.48

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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.