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Finding the Fourth Proportional to 460.18, 688.19 and 295.24

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Solution

The fourth proportional to 460.18, 688.19 and 295.24 is: 441.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    460.18 : 688.19 = 295.24 : x
  2. Step 2: Convert to fraction form
    460.18/688.19 = 295.24/x
  3. Step 3: Cross multiply
    460.18x = 688.19 × 295.24
  4. Step 4: Simplify right side
    460.18x = 203,178.02
  5. Step 5: Solve for x
    x = 203,178.02/460.18
  6. Step 6: Final answer
    x = 441.52

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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.