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Finding the Fourth Proportional to 347.79, 479.47 and 264.57

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Solution

The fourth proportional to 347.79, 479.47 and 264.57 is: 364.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    347.79 : 479.47 = 264.57 : x
  2. Step 2: Convert to fraction form
    347.79/479.47 = 264.57/x
  3. Step 3: Cross multiply
    347.79x = 479.47 × 264.57
  4. Step 4: Simplify right side
    347.79x = 126,851.41
  5. Step 5: Solve for x
    x = 126,851.41/347.79
  6. Step 6: Final answer
    x = 364.73

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Why These Related Problems?

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