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Finding the Fourth Proportional to 340.42, 469.64 and 209.20

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Solution

The fourth proportional to 340.42, 469.64 and 209.20 is: 288.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    340.42 : 469.64 = 209.20 : x
  2. Step 2: Convert to fraction form
    340.42/469.64 = 209.20/x
  3. Step 3: Cross multiply
    340.42x = 469.64 × 209.20
  4. Step 4: Simplify right side
    340.42x = 98,248.69
  5. Step 5: Solve for x
    x = 98,248.69/340.42
  6. Step 6: Final answer
    x = 288.61

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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.