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Finding the Fourth Proportional to 534.81, 802.31 and 210.18

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Solution

The fourth proportional to 534.81, 802.31 and 210.18 is: 315.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    534.81 : 802.31 = 210.18 : x
  2. Step 2: Convert to fraction form
    534.81/802.31 = 210.18/x
  3. Step 3: Cross multiply
    534.81x = 802.31 × 210.18
  4. Step 4: Simplify right side
    534.81x = 168,628.46
  5. Step 5: Solve for x
    x = 168,628.46/534.81
  6. Step 6: Final answer
    x = 315.31

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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.