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Finding the Fourth Proportional to 562.64, 777.67 and 495.74

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Solution

The fourth proportional to 562.64, 777.67 and 495.74 is: 685.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    562.64 : 777.67 = 495.74 : x
  2. Step 2: Convert to fraction form
    562.64/777.67 = 495.74/x
  3. Step 3: Cross multiply
    562.64x = 777.67 × 495.74
  4. Step 4: Simplify right side
    562.64x = 385,523.43
  5. Step 5: Solve for x
    x = 385,523.43/562.64
  6. Step 6: Final answer
    x = 685.20

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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.