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Finding the Fourth Proportional to 970.28, 1,456 and 353.92

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Solution

The fourth proportional to 970.28, 1,456 and 353.92 is: 531.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    970.28 : 1,456 = 353.92 : x
  2. Step 2: Convert to fraction form
    970.28/1,456 = 353.92/x
  3. Step 3: Cross multiply
    970.28x = 1,456 × 353.92
  4. Step 4: Simplify right side
    970.28x = 515,307.52
  5. Step 5: Solve for x
    x = 515,307.52/970.28
  6. Step 6: Final answer
    x = 531.09

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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.