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Finding the Fourth Proportional to 538.69, 807.72 and 295.15

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Solution

The fourth proportional to 538.69, 807.72 and 295.15 is: 442.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    538.69 : 807.72 = 295.15 : x
  2. Step 2: Convert to fraction form
    538.69/807.72 = 295.15/x
  3. Step 3: Cross multiply
    538.69x = 807.72 × 295.15
  4. Step 4: Simplify right side
    538.69x = 238,398.56
  5. Step 5: Solve for x
    x = 238,398.56/538.69
  6. Step 6: Final answer
    x = 442.55

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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.