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Finding the Fourth Proportional to 534.85, 802.14 and 210.04

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Solution

The fourth proportional to 534.85, 802.14 and 210.04 is: 315.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    534.85 : 802.14 = 210.04 : x
  2. Step 2: Convert to fraction form
    534.85/802.14 = 210.04/x
  3. Step 3: Cross multiply
    534.85x = 802.14 × 210.04
  4. Step 4: Simplify right side
    534.85x = 168,481.49
  5. Step 5: Solve for x
    x = 168,481.49/534.85
  6. Step 6: Final answer
    x = 315.01

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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.