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Finding the Fourth Proportional to 802.88, 1,204.57 and 255.08

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Solution

The fourth proportional to 802.88, 1,204.57 and 255.08 is: 382.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    802.88 : 1,204.57 = 255.08 : x
  2. Step 2: Convert to fraction form
    802.88/1,204.57 = 255.08/x
  3. Step 3: Cross multiply
    802.88x = 1,204.57 × 255.08
  4. Step 4: Simplify right side
    802.88x = 307,261.72
  5. Step 5: Solve for x
    x = 307,261.72/802.88
  6. Step 6: Final answer
    x = 382.70

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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.