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Finding the Fourth Proportional to 347.86, 521.33 and 311.08

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Solution

The fourth proportional to 347.86, 521.33 and 311.08 is: 466.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    347.86 : 521.33 = 311.08 : x
  2. Step 2: Convert to fraction form
    347.86/521.33 = 311.08/x
  3. Step 3: Cross multiply
    347.86x = 521.33 × 311.08
  4. Step 4: Simplify right side
    347.86x = 162,174.81
  5. Step 5: Solve for x
    x = 162,174.81/347.86
  6. Step 6: Final answer
    x = 466.21

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.