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Finding the Fourth Proportional to 534.66, 802 and 210.04

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Solution

The fourth proportional to 534.66, 802 and 210.04 is: 315.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    534.66 : 802 = 210.04 : x
  2. Step 2: Convert to fraction form
    534.66/802 = 210.04/x
  3. Step 3: Cross multiply
    534.66x = 802 × 210.04
  4. Step 4: Simplify right side
    534.66x = 168,452.08
  5. Step 5: Solve for x
    x = 168,452.08/534.66
  6. Step 6: Final answer
    x = 315.06

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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.