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Finding the Fourth Proportional to 292.01, 403.10 and 209.15

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Solution

The fourth proportional to 292.01, 403.10 and 209.15 is: 288.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    292.01 : 403.10 = 209.15 : x
  2. Step 2: Convert to fraction form
    292.01/403.10 = 209.15/x
  3. Step 3: Cross multiply
    292.01x = 403.10 × 209.15
  4. Step 4: Simplify right side
    292.01x = 84,308.37
  5. Step 5: Solve for x
    x = 84,308.37/292.01
  6. Step 6: Final answer
    x = 288.72

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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.