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Finding the Fourth Proportional to 534.36, 801.64 and 209.70

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Solution

The fourth proportional to 534.36, 801.64 and 209.70 is: 314.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    534.36 : 801.64 = 209.70 : x
  2. Step 2: Convert to fraction form
    534.36/801.64 = 209.70/x
  3. Step 3: Cross multiply
    534.36x = 801.64 × 209.70
  4. Step 4: Simplify right side
    534.36x = 168,103.91
  5. Step 5: Solve for x
    x = 168,103.91/534.36
  6. Step 6: Final answer
    x = 314.59

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.