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Finding the Fourth Proportional to 534.49, 802.08 and 209.88

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Solution

The fourth proportional to 534.49, 802.08 and 209.88 is: 314.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    534.49 : 802.08 = 209.88 : x
  2. Step 2: Convert to fraction form
    534.49/802.08 = 209.88/x
  3. Step 3: Cross multiply
    534.49x = 802.08 × 209.88
  4. Step 4: Simplify right side
    534.49x = 168,340.55
  5. Step 5: Solve for x
    x = 168,340.55/534.49
  6. Step 6: Final answer
    x = 314.96

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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.