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Finding the Fourth Proportional to 534.51, 801.66 and 260.19

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Solution

The fourth proportional to 534.51, 801.66 and 260.19 is: 390.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    534.51 : 801.66 = 260.19 : x
  2. Step 2: Convert to fraction form
    534.51/801.66 = 260.19/x
  3. Step 3: Cross multiply
    534.51x = 801.66 × 260.19
  4. Step 4: Simplify right side
    534.51x = 208,583.92
  5. Step 5: Solve for x
    x = 208,583.92/534.51
  6. Step 6: Final answer
    x = 390.23

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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.