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Finding the Fourth Proportional to 558.74, 837.29 and 314.01

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Solution

The fourth proportional to 558.74, 837.29 and 314.01 is: 470.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    558.74 : 837.29 = 314.01 : x
  2. Step 2: Convert to fraction form
    558.74/837.29 = 314.01/x
  3. Step 3: Cross multiply
    558.74x = 837.29 × 314.01
  4. Step 4: Simplify right side
    558.74x = 262,915.86
  5. Step 5: Solve for x
    x = 262,915.86/558.74
  6. Step 6: Final answer
    x = 470.56

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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.