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Finding the Fourth Proportional to 316.84, 475.80 and 314.32

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Solution

The fourth proportional to 316.84, 475.80 and 314.32 is: 472.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    316.84 : 475.80 = 314.32 : x
  2. Step 2: Convert to fraction form
    316.84/475.80 = 314.32/x
  3. Step 3: Cross multiply
    316.84x = 475.80 × 314.32
  4. Step 4: Simplify right side
    316.84x = 149,553.46
  5. Step 5: Solve for x
    x = 149,553.46/316.84
  6. Step 6: Final answer
    x = 472.02

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.