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Finding the Fourth Proportional to 540.24, 810.36 and 296.04

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Solution

The fourth proportional to 540.24, 810.36 and 296.04 is: 444.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    540.24 : 810.36 = 296.04 : x
  2. Step 2: Convert to fraction form
    540.24/810.36 = 296.04/x
  3. Step 3: Cross multiply
    540.24x = 810.36 × 296.04
  4. Step 4: Simplify right side
    540.24x = 239,898.97
  5. Step 5: Solve for x
    x = 239,898.97/540.24
  6. Step 6: Final answer
    x = 444.06

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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.