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Finding the Fourth Proportional to 972.11, 1,458.37 and 314.02

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Solution

The fourth proportional to 972.11, 1,458.37 and 314.02 is: 471.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    972.11 : 1,458.37 = 314.02 : x
  2. Step 2: Convert to fraction form
    972.11/1,458.37 = 314.02/x
  3. Step 3: Cross multiply
    972.11x = 1,458.37 × 314.02
  4. Step 4: Simplify right side
    972.11x = 457,959.56
  5. Step 5: Solve for x
    x = 457,959.56/972.11
  6. Step 6: Final answer
    x = 471.10

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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.