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Finding the Fourth Proportional to 744.32, 1,117.12 and 333.76

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Solution

The fourth proportional to 744.32, 1,117.12 and 333.76 is: 500.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    744.32 : 1,117.12 = 333.76 : x
  2. Step 2: Convert to fraction form
    744.32/1,117.12 = 333.76/x
  3. Step 3: Cross multiply
    744.32x = 1,117.12 × 333.76
  4. Step 4: Simplify right side
    744.32x = 372,849.97
  5. Step 5: Solve for x
    x = 372,849.97/744.32
  6. Step 6: Final answer
    x = 500.93

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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.