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Finding the Fourth Proportional to 879.84, 1,320.11 and 332.07

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Solution

The fourth proportional to 879.84, 1,320.11 and 332.07 is: 498.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    879.84 : 1,320.11 = 332.07 : x
  2. Step 2: Convert to fraction form
    879.84/1,320.11 = 332.07/x
  3. Step 3: Cross multiply
    879.84x = 1,320.11 × 332.07
  4. Step 4: Simplify right side
    879.84x = 438,367.27
  5. Step 5: Solve for x
    x = 438,367.27/879.84
  6. Step 6: Final answer
    x = 498.24

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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.