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Finding the Fourth Proportional to 622.08, 932.82 and 313.86

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Solution

The fourth proportional to 622.08, 932.82 and 313.86 is: 470.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    622.08 : 932.82 = 313.86 : x
  2. Step 2: Convert to fraction form
    622.08/932.82 = 313.86/x
  3. Step 3: Cross multiply
    622.08x = 932.82 × 313.86
  4. Step 4: Simplify right side
    622.08x = 292,774.89
  5. Step 5: Solve for x
    x = 292,774.89/622.08
  6. Step 6: Final answer
    x = 470.64

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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.