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Finding the Fourth Proportional to 340.52, 469.68 and 209.58

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Solution

The fourth proportional to 340.52, 469.68 and 209.58 is: 289.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    340.52 : 469.68 = 209.58 : x
  2. Step 2: Convert to fraction form
    340.52/469.68 = 209.58/x
  3. Step 3: Cross multiply
    340.52x = 469.68 × 209.58
  4. Step 4: Simplify right side
    340.52x = 98,435.53
  5. Step 5: Solve for x
    x = 98,435.53/340.52
  6. Step 6: Final answer
    x = 289.07

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.