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Finding the Fourth Proportional to 558.45, 838.26 and 315.18

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Solution

The fourth proportional to 558.45, 838.26 and 315.18 is: 473.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    558.45 : 838.26 = 315.18 : x
  2. Step 2: Convert to fraction form
    558.45/838.26 = 315.18/x
  3. Step 3: Cross multiply
    558.45x = 838.26 × 315.18
  4. Step 4: Simplify right side
    558.45x = 264,202.79
  5. Step 5: Solve for x
    x = 264,202.79/558.45
  6. Step 6: Final answer
    x = 473.10

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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.