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Finding the Fourth Proportional to 972.13, 1,458.24 and 278.90

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Solution

The fourth proportional to 972.13, 1,458.24 and 278.90 is: 418.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    972.13 : 1,458.24 = 278.90 : x
  2. Step 2: Convert to fraction form
    972.13/1,458.24 = 278.90/x
  3. Step 3: Cross multiply
    972.13x = 1,458.24 × 278.90
  4. Step 4: Simplify right side
    972.13x = 406,706.72
  5. Step 5: Solve for x
    x = 406,706.72/972.13
  6. Step 6: Final answer
    x = 418.37

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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.