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Finding the Fourth Proportional to 970.86, 1,456.27 and 240.45

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Solution

The fourth proportional to 970.86, 1,456.27 and 240.45 is: 360.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    970.86 : 1,456.27 = 240.45 : x
  2. Step 2: Convert to fraction form
    970.86/1,456.27 = 240.45/x
  3. Step 3: Cross multiply
    970.86x = 1,456.27 × 240.45
  4. Step 4: Simplify right side
    970.86x = 350,154.74
  5. Step 5: Solve for x
    x = 350,154.74/970.86
  6. Step 6: Final answer
    x = 360.66

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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.