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Finding the Fourth Proportional to 534.16, 801.41 and 260.21

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Solution

The fourth proportional to 534.16, 801.41 and 260.21 is: 390.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    534.16 : 801.41 = 260.21 : x
  2. Step 2: Convert to fraction form
    534.16/801.41 = 260.21/x
  3. Step 3: Cross multiply
    534.16x = 801.41 × 260.21
  4. Step 4: Simplify right side
    534.16x = 208,535.60
  5. Step 5: Solve for x
    x = 208,535.60/534.16
  6. Step 6: Final answer
    x = 390.40

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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.