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Finding the Fourth Proportional to 972.25, 1,458.07 and 278.73

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Solution

The fourth proportional to 972.25, 1,458.07 and 278.73 is: 418.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    972.25 : 1,458.07 = 278.73 : x
  2. Step 2: Convert to fraction form
    972.25/1,458.07 = 278.73/x
  3. Step 3: Cross multiply
    972.25x = 1,458.07 × 278.73
  4. Step 4: Simplify right side
    972.25x = 406,405.47
  5. Step 5: Solve for x
    x = 406,405.47/972.25
  6. Step 6: Final answer
    x = 418.01

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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.