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Finding the Fourth Proportional to 876.56, 1,315.04 and 328.80

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Solution

The fourth proportional to 876.56, 1,315.04 and 328.80 is: 493.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    876.56 : 1,315.04 = 328.80 : x
  2. Step 2: Convert to fraction form
    876.56/1,315.04 = 328.80/x
  3. Step 3: Cross multiply
    876.56x = 1,315.04 × 328.80
  4. Step 4: Simplify right side
    876.56x = 432,385.15
  5. Step 5: Solve for x
    x = 432,385.15/876.56
  6. Step 6: Final answer
    x = 493.28

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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.