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Finding the Fourth Proportional to 617.90, 928.67 and 402.84

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Solution

The fourth proportional to 617.90, 928.67 and 402.84 is: 605.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    617.90 : 928.67 = 402.84 : x
  2. Step 2: Convert to fraction form
    617.90/928.67 = 402.84/x
  3. Step 3: Cross multiply
    617.90x = 928.67 × 402.84
  4. Step 4: Simplify right side
    617.90x = 374,103.41
  5. Step 5: Solve for x
    x = 374,103.41/617.90
  6. Step 6: Final answer
    x = 605.45

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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.