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Finding the Fourth Proportional to 972.52, 1,458.57 and 314.46

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Solution

The fourth proportional to 972.52, 1,458.57 and 314.46 is: 471.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    972.52 : 1,458.57 = 314.46 : x
  2. Step 2: Convert to fraction form
    972.52/1,458.57 = 314.46/x
  3. Step 3: Cross multiply
    972.52x = 1,458.57 × 314.46
  4. Step 4: Simplify right side
    972.52x = 458,661.92
  5. Step 5: Solve for x
    x = 458,661.92/972.52
  6. Step 6: Final answer
    x = 471.62

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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.