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Finding the Fourth Proportional to 534.96, 801.27 and 260.46

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Solution

The fourth proportional to 534.96, 801.27 and 260.46 is: 390.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    534.96 : 801.27 = 260.46 : x
  2. Step 2: Convert to fraction form
    534.96/801.27 = 260.46/x
  3. Step 3: Cross multiply
    534.96x = 801.27 × 260.46
  4. Step 4: Simplify right side
    534.96x = 208,698.78
  5. Step 5: Solve for x
    x = 208,698.78/534.96
  6. Step 6: Final answer
    x = 390.12

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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.