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Finding the Fourth Proportional to 970.31, 1,456.07 and 422.50

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Solution

The fourth proportional to 970.31, 1,456.07 and 422.50 is: 634.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    970.31 : 1,456.07 = 422.50 : x
  2. Step 2: Convert to fraction form
    970.31/1,456.07 = 422.50/x
  3. Step 3: Cross multiply
    970.31x = 1,456.07 × 422.50
  4. Step 4: Simplify right side
    970.31x = 615,189.58
  5. Step 5: Solve for x
    x = 615,189.58/970.31
  6. Step 6: Final answer
    x = 634.01

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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.