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Finding the Fourth Proportional to 340.52, 469.76 and 209.56

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Solution

The fourth proportional to 340.52, 469.76 and 209.56 is: 289.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    340.52 : 469.76 = 209.56 : x
  2. Step 2: Convert to fraction form
    340.52/469.76 = 209.56/x
  3. Step 3: Cross multiply
    340.52x = 469.76 × 209.56
  4. Step 4: Simplify right side
    340.52x = 98,442.91
  5. Step 5: Solve for x
    x = 98,442.91/340.52
  6. Step 6: Final answer
    x = 289.10

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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.