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Finding the Fourth Proportional to 534.30, 801.45 and 260.57

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Solution

The fourth proportional to 534.30, 801.45 and 260.57 is: 390.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    534.30 : 801.45 = 260.57 : x
  2. Step 2: Convert to fraction form
    534.30/801.45 = 260.57/x
  3. Step 3: Cross multiply
    534.30x = 801.45 × 260.57
  4. Step 4: Simplify right side
    534.30x = 208,829.82
  5. Step 5: Solve for x
    x = 208,829.82/534.30
  6. Step 6: Final answer
    x = 390.85

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.