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Finding the Fourth Proportional to 972.41, 1,458.70 and 417.14

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Solution

The fourth proportional to 972.41, 1,458.70 and 417.14 is: 625.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    972.41 : 1,458.70 = 417.14 : x
  2. Step 2: Convert to fraction form
    972.41/1,458.70 = 417.14/x
  3. Step 3: Cross multiply
    972.41x = 1,458.70 × 417.14
  4. Step 4: Simplify right side
    972.41x = 608,487.16
  5. Step 5: Solve for x
    x = 608,487.16/972.41
  6. Step 6: Final answer
    x = 625.75

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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.