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Finding the Fourth Proportional to 972.32, 1,458.55 and 278.96

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Solution

The fourth proportional to 972.32, 1,458.55 and 278.96 is: 418.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    972.32 : 1,458.55 = 278.96 : x
  2. Step 2: Convert to fraction form
    972.32/1,458.55 = 278.96/x
  3. Step 3: Cross multiply
    972.32x = 1,458.55 × 278.96
  4. Step 4: Simplify right side
    972.32x = 406,877.11
  5. Step 5: Solve for x
    x = 406,877.11/972.32
  6. Step 6: Final answer
    x = 418.46

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.