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Finding the Fourth Proportional to 314.18, 432.77 and 293.42

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Solution

The fourth proportional to 314.18, 432.77 and 293.42 is: 404.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    314.18 : 432.77 = 293.42 : x
  2. Step 2: Convert to fraction form
    314.18/432.77 = 293.42/x
  3. Step 3: Cross multiply
    314.18x = 432.77 × 293.42
  4. Step 4: Simplify right side
    314.18x = 126,979.74
  5. Step 5: Solve for x
    x = 126,979.74/314.18
  6. Step 6: Final answer
    x = 404.17

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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.