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Finding the Fourth Proportional to 309.54, 426.91 and 263.07

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Solution

The fourth proportional to 309.54, 426.91 and 263.07 is: 362.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    309.54 : 426.91 = 263.07 : x
  2. Step 2: Convert to fraction form
    309.54/426.91 = 263.07/x
  3. Step 3: Cross multiply
    309.54x = 426.91 × 263.07
  4. Step 4: Simplify right side
    309.54x = 112,307.21
  5. Step 5: Solve for x
    x = 112,307.21/309.54
  6. Step 6: Final answer
    x = 362.82

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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.