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Finding the Fourth Proportional to 578.95, 869.01 and 424.42

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Solution

The fourth proportional to 578.95, 869.01 and 424.42 is: 637.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    578.95 : 869.01 = 424.42 : x
  2. Step 2: Convert to fraction form
    578.95/869.01 = 424.42/x
  3. Step 3: Cross multiply
    578.95x = 869.01 × 424.42
  4. Step 4: Simplify right side
    578.95x = 368,823.05
  5. Step 5: Solve for x
    x = 368,823.05/578.95
  6. Step 6: Final answer
    x = 637.06

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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.