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Finding the Fourth Proportional to 407.97, 562.45 and 352.59

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Solution

The fourth proportional to 407.97, 562.45 and 352.59 is: 486.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    407.97 : 562.45 = 352.59 : x
  2. Step 2: Convert to fraction form
    407.97/562.45 = 352.59/x
  3. Step 3: Cross multiply
    407.97x = 562.45 × 352.59
  4. Step 4: Simplify right side
    407.97x = 198,314.25
  5. Step 5: Solve for x
    x = 198,314.25/407.97
  6. Step 6: Final answer
    x = 486.10

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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.