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Finding the Fourth Proportional to 340.19, 469.47 and 209.17

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Solution

The fourth proportional to 340.19, 469.47 and 209.17 is: 288.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    340.19 : 469.47 = 209.17 : x
  2. Step 2: Convert to fraction form
    340.19/469.47 = 209.17/x
  3. Step 3: Cross multiply
    340.19x = 469.47 × 209.17
  4. Step 4: Simplify right side
    340.19x = 98,199.04
  5. Step 5: Solve for x
    x = 98,199.04/340.19
  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.