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Finding the Fourth Proportional to 562.26, 839.47 and 485.14

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Solution

The fourth proportional to 562.26, 839.47 and 485.14 is: 724.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    562.26 : 839.47 = 485.14 : x
  2. Step 2: Convert to fraction form
    562.26/839.47 = 485.14/x
  3. Step 3: Cross multiply
    562.26x = 839.47 × 485.14
  4. Step 4: Simplify right side
    562.26x = 407,258.05
  5. Step 5: Solve for x
    x = 407,258.05/562.26
  6. Step 6: Final answer
    x = 724.32

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.