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Finding the Fourth Proportional to 534.71, 802.16 and 246.13

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Solution

The fourth proportional to 534.71, 802.16 and 246.13 is: 369.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    534.71 : 802.16 = 246.13 : x
  2. Step 2: Convert to fraction form
    534.71/802.16 = 246.13/x
  3. Step 3: Cross multiply
    534.71x = 802.16 × 246.13
  4. Step 4: Simplify right side
    534.71x = 197,435.64
  5. Step 5: Solve for x
    x = 197,435.64/534.71
  6. Step 6: Final answer
    x = 369.24

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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.