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Finding the Fourth Proportional to 340.61, 469.95 and 209.57

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Solution

The fourth proportional to 340.61, 469.95 and 209.57 is: 289.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    340.61 : 469.95 = 209.57 : x
  2. Step 2: Convert to fraction form
    340.61/469.95 = 209.57/x
  3. Step 3: Cross multiply
    340.61x = 469.95 × 209.57
  4. Step 4: Simplify right side
    340.61x = 98,487.42
  5. Step 5: Solve for x
    x = 98,487.42/340.61
  6. Step 6: Final answer
    x = 289.15

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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.