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Finding the Fourth Proportional to 970.50, 1,455.96 and 354.20

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Solution

The fourth proportional to 970.50, 1,455.96 and 354.20 is: 531.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    970.50 : 1,455.96 = 354.20 : x
  2. Step 2: Convert to fraction form
    970.50/1,455.96 = 354.20/x
  3. Step 3: Cross multiply
    970.50x = 1,455.96 × 354.20
  4. Step 4: Simplify right side
    970.50x = 515,693.75
  5. Step 5: Solve for x
    x = 515,693.75/970.50
  6. Step 6: Final answer
    x = 531.37

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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.