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Finding the Fourth Proportional to 558.56, 838.32 and 302.24

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Solution

The fourth proportional to 558.56, 838.32 and 302.24 is: 453.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    558.56 : 838.32 = 302.24 : x
  2. Step 2: Convert to fraction form
    558.56/838.32 = 302.24/x
  3. Step 3: Cross multiply
    558.56x = 838.32 × 302.24
  4. Step 4: Simplify right side
    558.56x = 253,373.84
  5. Step 5: Solve for x
    x = 253,373.84/558.56
  6. Step 6: Final answer
    x = 453.62

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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.