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Finding the Fourth Proportional to 314.34, 473.17 and 286.66

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Solution

The fourth proportional to 314.34, 473.17 and 286.66 is: 431.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    314.34 : 473.17 = 286.66 : x
  2. Step 2: Convert to fraction form
    314.34/473.17 = 286.66/x
  3. Step 3: Cross multiply
    314.34x = 473.17 × 286.66
  4. Step 4: Simplify right side
    314.34x = 135,635.11
  5. Step 5: Solve for x
    x = 135,635.11/314.34
  6. Step 6: Final answer
    x = 431.49

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.