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Finding the Fourth Proportional to 970.65, 1,456.10 and 354.27

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Solution

The fourth proportional to 970.65, 1,456.10 and 354.27 is: 531.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    970.65 : 1,456.10 = 354.27 : x
  2. Step 2: Convert to fraction form
    970.65/1,456.10 = 354.27/x
  3. Step 3: Cross multiply
    970.65x = 1,456.10 × 354.27
  4. Step 4: Simplify right side
    970.65x = 515,852.55
  5. Step 5: Solve for x
    x = 515,852.55/970.65
  6. Step 6: Final answer
    x = 531.45

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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.