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Finding the Fourth Proportional to 718.26, 1,077.50 and 328.04

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Solution

The fourth proportional to 718.26, 1,077.50 and 328.04 is: 492.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    718.26 : 1,077.50 = 328.04 : x
  2. Step 2: Convert to fraction form
    718.26/1,077.50 = 328.04/x
  3. Step 3: Cross multiply
    718.26x = 1,077.50 × 328.04
  4. Step 4: Simplify right side
    718.26x = 353,463.10
  5. Step 5: Solve for x
    x = 353,463.10/718.26
  6. Step 6: Final answer
    x = 492.11

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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.