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Finding the Fourth Proportional to 972.32, 1,458.60 and 314.21

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Solution

The fourth proportional to 972.32, 1,458.60 and 314.21 is: 471.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    972.32 : 1,458.60 = 314.21 : x
  2. Step 2: Convert to fraction form
    972.32/1,458.60 = 314.21/x
  3. Step 3: Cross multiply
    972.32x = 1,458.60 × 314.21
  4. Step 4: Simplify right side
    972.32x = 458,309.17
  5. Step 5: Solve for x
    x = 458,309.17/972.32
  6. Step 6: Final answer
    x = 471.36

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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.