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Finding the Fourth Proportional to 970.32, 1,456.23 and 354.62

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Solution

The fourth proportional to 970.32, 1,456.23 and 354.62 is: 532.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    970.32 : 1,456.23 = 354.62 : x
  2. Step 2: Convert to fraction form
    970.32/1,456.23 = 354.62/x
  3. Step 3: Cross multiply
    970.32x = 1,456.23 × 354.62
  4. Step 4: Simplify right side
    970.32x = 516,401.00
  5. Step 5: Solve for x
    x = 516,401.00/970.32
  6. Step 6: Final answer
    x = 532.20

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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.