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Finding the Fourth Proportional to 345.75, 477.14 and 229.34

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Solution

The fourth proportional to 345.75, 477.14 and 229.34 is: 316.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    345.75 : 477.14 = 229.34 : x
  2. Step 2: Convert to fraction form
    345.75/477.14 = 229.34/x
  3. Step 3: Cross multiply
    345.75x = 477.14 × 229.34
  4. Step 4: Simplify right side
    345.75x = 109,423.76
  5. Step 5: Solve for x
    x = 109,423.76/345.75
  6. Step 6: Final answer
    x = 316.48

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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.