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Finding the Fourth Proportional to 538.76, 807.06 and 295.22

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Solution

The fourth proportional to 538.76, 807.06 and 295.22 is: 442.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    538.76 : 807.06 = 295.22 : x
  2. Step 2: Convert to fraction form
    538.76/807.06 = 295.22/x
  3. Step 3: Cross multiply
    538.76x = 807.06 × 295.22
  4. Step 4: Simplify right side
    538.76x = 238,260.25
  5. Step 5: Solve for x
    x = 238,260.25/538.76
  6. Step 6: Final answer
    x = 442.24

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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.