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Finding the Fourth Proportional to 970.91, 1,456.35 and 240.49

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Solution

The fourth proportional to 970.91, 1,456.35 and 240.49 is: 360.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    970.91 : 1,456.35 = 240.49 : x
  2. Step 2: Convert to fraction form
    970.91/1,456.35 = 240.49/x
  3. Step 3: Cross multiply
    970.91x = 1,456.35 × 240.49
  4. Step 4: Simplify right side
    970.91x = 350,238.53
  5. Step 5: Solve for x
    x = 350,238.53/970.91
  6. Step 6: Final answer
    x = 360.73

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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.