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Finding the Fourth Proportional to 970.55, 1,456.02 and 354.14

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Solution

The fourth proportional to 970.55, 1,456.02 and 354.14 is: 531.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    970.55 : 1,456.02 = 354.14 : x
  2. Step 2: Convert to fraction form
    970.55/1,456.02 = 354.14/x
  3. Step 3: Cross multiply
    970.55x = 1,456.02 × 354.14
  4. Step 4: Simplify right side
    970.55x = 515,627.64
  5. Step 5: Solve for x
    x = 515,627.64/970.55
  6. Step 6: Final answer
    x = 531.28

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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.