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Finding the Fourth Proportional to 461.40, 693.04 and 288.24

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Solution

The fourth proportional to 461.40, 693.04 and 288.24 is: 432.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    461.40 : 693.04 = 288.24 : x
  2. Step 2: Convert to fraction form
    461.40/693.04 = 288.24/x
  3. Step 3: Cross multiply
    461.40x = 693.04 × 288.24
  4. Step 4: Simplify right side
    461.40x = 199,761.85
  5. Step 5: Solve for x
    x = 199,761.85/461.40
  6. Step 6: Final answer
    x = 432.95

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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.