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Finding the Fourth Proportional to 876.96, 1,315.26 and 328.84

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Solution

The fourth proportional to 876.96, 1,315.26 and 328.84 is: 493.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    876.96 : 1,315.26 = 328.84 : x
  2. Step 2: Convert to fraction form
    876.96/1,315.26 = 328.84/x
  3. Step 3: Cross multiply
    876.96x = 1,315.26 × 328.84
  4. Step 4: Simplify right side
    876.96x = 432,510.10
  5. Step 5: Solve for x
    x = 432,510.10/876.96
  6. Step 6: Final answer
    x = 493.19

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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.