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Finding the Fourth Proportional to 578.09, 869.02 and 463.79

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Solution

The fourth proportional to 578.09, 869.02 and 463.79 is: 697.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    578.09 : 869.02 = 463.79 : x
  2. Step 2: Convert to fraction form
    578.09/869.02 = 463.79/x
  3. Step 3: Cross multiply
    578.09x = 869.02 × 463.79
  4. Step 4: Simplify right side
    578.09x = 403,040.87
  5. Step 5: Solve for x
    x = 403,040.87/578.09
  6. Step 6: Final answer
    x = 697.19

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.