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Finding the Fourth Proportional to 347.16, 518.10 and 310.68

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Solution

The fourth proportional to 347.16, 518.10 and 310.68 is: 463.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    347.16 : 518.10 = 310.68 : x
  2. Step 2: Convert to fraction form
    347.16/518.10 = 310.68/x
  3. Step 3: Cross multiply
    347.16x = 518.10 × 310.68
  4. Step 4: Simplify right side
    347.16x = 160,963.31
  5. Step 5: Solve for x
    x = 160,963.31/347.16
  6. Step 6: Final answer
    x = 463.66

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Why These Related Problems?

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