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Finding the Fourth Proportional to 401.58, 552.69 and 314.10

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Solution

The fourth proportional to 401.58, 552.69 and 314.10 is: 432.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    401.58 : 552.69 = 314.10 : x
  2. Step 2: Convert to fraction form
    401.58/552.69 = 314.10/x
  3. Step 3: Cross multiply
    401.58x = 552.69 × 314.10
  4. Step 4: Simplify right side
    401.58x = 173,599.93
  5. Step 5: Solve for x
    x = 173,599.93/401.58
  6. Step 6: Final answer
    x = 432.29

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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.