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Finding the Fourth Proportional to 407.25, 562.04 and 252.03

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Solution

The fourth proportional to 407.25, 562.04 and 252.03 is: 347.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    407.25 : 562.04 = 252.03 : x
  2. Step 2: Convert to fraction form
    407.25/562.04 = 252.03/x
  3. Step 3: Cross multiply
    407.25x = 562.04 × 252.03
  4. Step 4: Simplify right side
    407.25x = 141,649.68
  5. Step 5: Solve for x
    x = 141,649.68/407.25
  6. Step 6: Final answer
    x = 347.82

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.