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Finding the Fourth Proportional to 534.68, 802.29 and 210.23

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Solution

The fourth proportional to 534.68, 802.29 and 210.23 is: 315.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    534.68 : 802.29 = 210.23 : x
  2. Step 2: Convert to fraction form
    534.68/802.29 = 210.23/x
  3. Step 3: Cross multiply
    534.68x = 802.29 × 210.23
  4. Step 4: Simplify right side
    534.68x = 168,665.43
  5. Step 5: Solve for x
    x = 168,665.43/534.68
  6. Step 6: Final answer
    x = 315.45

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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.