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Finding the Fourth Proportional to 309.61, 426.63 and 260.61

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Solution

The fourth proportional to 309.61, 426.63 and 260.61 is: 359.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    309.61 : 426.63 = 260.61 : x
  2. Step 2: Convert to fraction form
    309.61/426.63 = 260.61/x
  3. Step 3: Cross multiply
    309.61x = 426.63 × 260.61
  4. Step 4: Simplify right side
    309.61x = 111,184.04
  5. Step 5: Solve for x
    x = 111,184.04/309.61
  6. Step 6: Final answer
    x = 359.11

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.