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Finding the Fourth Proportional to 534.78, 802.26 and 260.82

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Solution

The fourth proportional to 534.78, 802.26 and 260.82 is: 391.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    534.78 : 802.26 = 260.82 : x
  2. Step 2: Convert to fraction form
    534.78/802.26 = 260.82/x
  3. Step 3: Cross multiply
    534.78x = 802.26 × 260.82
  4. Step 4: Simplify right side
    534.78x = 209,245.45
  5. Step 5: Solve for x
    x = 209,245.45/534.78
  6. Step 6: Final answer
    x = 391.27

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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.