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Finding the Fourth Proportional to 662.59, 912.29 and 562.80

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Solution

The fourth proportional to 662.59, 912.29 and 562.80 is: 774.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    662.59 : 912.29 = 562.80 : x
  2. Step 2: Convert to fraction form
    662.59/912.29 = 562.80/x
  3. Step 3: Cross multiply
    662.59x = 912.29 × 562.80
  4. Step 4: Simplify right side
    662.59x = 513,440.32
  5. Step 5: Solve for x
    x = 513,440.32/662.59
  6. Step 6: Final answer
    x = 774.90

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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.