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Finding the Fourth Proportional to 558.26, 837.18 and 314.86

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Solution

The fourth proportional to 558.26, 837.18 and 314.86 is: 472.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    558.26 : 837.18 = 314.86 : x
  2. Step 2: Convert to fraction form
    558.26/837.18 = 314.86/x
  3. Step 3: Cross multiply
    558.26x = 837.18 × 314.86
  4. Step 4: Simplify right side
    558.26x = 263,594.49
  5. Step 5: Solve for x
    x = 263,594.49/558.26
  6. Step 6: Final answer
    x = 472.17

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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.