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Finding the Fourth Proportional to 876.62, 1,315.41 and 328.76

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Solution

The fourth proportional to 876.62, 1,315.41 and 328.76 is: 493.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    876.62 : 1,315.41 = 328.76 : x
  2. Step 2: Convert to fraction form
    876.62/1,315.41 = 328.76/x
  3. Step 3: Cross multiply
    876.62x = 1,315.41 × 328.76
  4. Step 4: Simplify right side
    876.62x = 432,451.31
  5. Step 5: Solve for x
    x = 432,451.31/876.62
  6. Step 6: Final answer
    x = 493.32

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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.