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Finding the Fourth Proportional to 562.88, 776.73 and 314.18

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Solution

The fourth proportional to 562.88, 776.73 and 314.18 is: 433.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    562.88 : 776.73 = 314.18 : x
  2. Step 2: Convert to fraction form
    562.88/776.73 = 314.18/x
  3. Step 3: Cross multiply
    562.88x = 776.73 × 314.18
  4. Step 4: Simplify right side
    562.88x = 244,033.03
  5. Step 5: Solve for x
    x = 244,033.03/562.88
  6. Step 6: Final answer
    x = 433.54

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.