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Finding the Fourth Proportional to 601.59, 902.49 and 255.10

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Solution

The fourth proportional to 601.59, 902.49 and 255.10 is: 382.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    601.59 : 902.49 = 255.10 : x
  2. Step 2: Convert to fraction form
    601.59/902.49 = 255.10/x
  3. Step 3: Cross multiply
    601.59x = 902.49 × 255.10
  4. Step 4: Simplify right side
    601.59x = 230,225.11
  5. Step 5: Solve for x
    x = 230,225.11/601.59
  6. Step 6: Final answer
    x = 382.69

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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.