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Finding the Fourth Proportional to 458.60, 685.28 and 370.96

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Solution

The fourth proportional to 458.60, 685.28 and 370.96 is: 554.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    458.60 : 685.28 = 370.96 : x
  2. Step 2: Convert to fraction form
    458.60/685.28 = 370.96/x
  3. Step 3: Cross multiply
    458.60x = 685.28 × 370.96
  4. Step 4: Simplify right side
    458.60x = 254,211.47
  5. Step 5: Solve for x
    x = 254,211.47/458.60
  6. Step 6: Final answer
    x = 554.32

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.