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Finding the Fourth Proportional to 662.32, 913.14 and 578.68

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Solution

The fourth proportional to 662.32, 913.14 and 578.68 is: 797.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    662.32 : 913.14 = 578.68 : x
  2. Step 2: Convert to fraction form
    662.32/913.14 = 578.68/x
  3. Step 3: Cross multiply
    662.32x = 913.14 × 578.68
  4. Step 4: Simplify right side
    662.32x = 528,415.86
  5. Step 5: Solve for x
    x = 528,415.86/662.32
  6. Step 6: Final answer
    x = 797.83

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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.