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Finding the Fourth Proportional to 534.12, 801.65 and 260.52

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Solution

The fourth proportional to 534.12, 801.65 and 260.52 is: 391.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    534.12 : 801.65 = 260.52 : x
  2. Step 2: Convert to fraction form
    534.12/801.65 = 260.52/x
  3. Step 3: Cross multiply
    534.12x = 801.65 × 260.52
  4. Step 4: Simplify right side
    534.12x = 208,844.56
  5. Step 5: Solve for x
    x = 208,844.56/534.12
  6. Step 6: Final answer
    x = 391.01

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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.