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Finding the Fourth Proportional to 578.86, 866.40 and 424.75

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Solution

The fourth proportional to 578.86, 866.40 and 424.75 is: 635.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    578.86 : 866.40 = 424.75 : x
  2. Step 2: Convert to fraction form
    578.86/866.40 = 424.75/x
  3. Step 3: Cross multiply
    578.86x = 866.40 × 424.75
  4. Step 4: Simplify right side
    578.86x = 368,001.23
  5. Step 5: Solve for x
    x = 368,001.23/578.86
  6. Step 6: Final answer
    x = 635.74

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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.