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Finding the Fourth Proportional to 909.97, 1,364.13 and 332.71

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Solution

The fourth proportional to 909.97, 1,364.13 and 332.71 is: 498.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    909.97 : 1,364.13 = 332.71 : x
  2. Step 2: Convert to fraction form
    909.97/1,364.13 = 332.71/x
  3. Step 3: Cross multiply
    909.97x = 1,364.13 × 332.71
  4. Step 4: Simplify right side
    909.97x = 453,856.28
  5. Step 5: Solve for x
    x = 453,856.28/909.97
  6. Step 6: Final answer
    x = 498.76

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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.