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Finding the Fourth Proportional to 345.67, 477.05 and 262.65

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Solution

The fourth proportional to 345.67, 477.05 and 262.65 is: 362.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    345.67 : 477.05 = 262.65 : x
  2. Step 2: Convert to fraction form
    345.67/477.05 = 262.65/x
  3. Step 3: Cross multiply
    345.67x = 477.05 × 262.65
  4. Step 4: Simplify right side
    345.67x = 125,293.48
  5. Step 5: Solve for x
    x = 125,293.48/345.67
  6. Step 6: Final answer
    x = 362.47

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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.