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Finding the Fourth Proportional to 600.45, 832.40 and 567.60

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Solution

The fourth proportional to 600.45, 832.40 and 567.60 is: 786.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    600.45 : 832.40 = 567.60 : x
  2. Step 2: Convert to fraction form
    600.45/832.40 = 567.60/x
  3. Step 3: Cross multiply
    600.45x = 832.40 × 567.60
  4. Step 4: Simplify right side
    600.45x = 472,471.66
  5. Step 5: Solve for x
    x = 472,471.66/600.45
  6. Step 6: Final answer
    x = 786.86

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.