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Finding the Fourth Proportional to 558.69, 838.54 and 315.72

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Solution

The fourth proportional to 558.69, 838.54 and 315.72 is: 473.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    558.69 : 838.54 = 315.72 : x
  2. Step 2: Convert to fraction form
    558.69/838.54 = 315.72/x
  3. Step 3: Cross multiply
    558.69x = 838.54 × 315.72
  4. Step 4: Simplify right side
    558.69x = 264,743.85
  5. Step 5: Solve for x
    x = 264,743.85/558.69
  6. Step 6: Final answer
    x = 473.87

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