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Finding the Fourth Proportional to 292.34, 402.90 and 209.45

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Solution

The fourth proportional to 292.34, 402.90 and 209.45 is: 288.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    292.34 : 402.90 = 209.45 : x
  2. Step 2: Convert to fraction form
    292.34/402.90 = 209.45/x
  3. Step 3: Cross multiply
    292.34x = 402.90 × 209.45
  4. Step 4: Simplify right side
    292.34x = 84,387.41
  5. Step 5: Solve for x
    x = 84,387.41/292.34
  6. Step 6: Final answer
    x = 288.66

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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.