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Finding the Fourth Proportional to 347.38, 519.08 and 264.66

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Solution

The fourth proportional to 347.38, 519.08 and 264.66 is: 395.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    347.38 : 519.08 = 264.66 : x
  2. Step 2: Convert to fraction form
    347.38/519.08 = 264.66/x
  3. Step 3: Cross multiply
    347.38x = 519.08 × 264.66
  4. Step 4: Simplify right side
    347.38x = 137,379.71
  5. Step 5: Solve for x
    x = 137,379.71/347.38
  6. Step 6: Final answer
    x = 395.47

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.