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Finding the Fourth Proportional to 557.20, 836.60 and 314.20

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Solution

The fourth proportional to 557.20, 836.60 and 314.20 is: 471.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    557.20 : 836.60 = 314.20 : x
  2. Step 2: Convert to fraction form
    557.20/836.60 = 314.20/x
  3. Step 3: Cross multiply
    557.20x = 836.60 × 314.20
  4. Step 4: Simplify right side
    557.20x = 262,859.72
  5. Step 5: Solve for x
    x = 262,859.72/557.20
  6. Step 6: Final answer
    x = 471.75

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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.