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Finding the Fourth Proportional to 534.66, 802.12 and 210.04

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Solution

The fourth proportional to 534.66, 802.12 and 210.04 is: 315.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    534.66 : 802.12 = 210.04 : x
  2. Step 2: Convert to fraction form
    534.66/802.12 = 210.04/x
  3. Step 3: Cross multiply
    534.66x = 802.12 × 210.04
  4. Step 4: Simplify right side
    534.66x = 168,477.28
  5. Step 5: Solve for x
    x = 168,477.28/534.66
  6. Step 6: Final answer
    x = 315.11

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