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Finding the Fourth Proportional to 534.47, 802.16 and 210.07

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Solution

The fourth proportional to 534.47, 802.16 and 210.07 is: 315.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    534.47 : 802.16 = 210.07 : x
  2. Step 2: Convert to fraction form
    534.47/802.16 = 210.07/x
  3. Step 3: Cross multiply
    534.47x = 802.16 × 210.07
  4. Step 4: Simplify right side
    534.47x = 168,508.27
  5. Step 5: Solve for x
    x = 168,508.27/534.47
  6. Step 6: Final answer
    x = 315.28

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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.