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Finding the Fourth Proportional to 558.54, 838.02 and 353.64

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Solution

The fourth proportional to 558.54, 838.02 and 353.64 is: 530.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    558.54 : 838.02 = 353.64 : x
  2. Step 2: Convert to fraction form
    558.54/838.02 = 353.64/x
  3. Step 3: Cross multiply
    558.54x = 838.02 × 353.64
  4. Step 4: Simplify right side
    558.54x = 296,357.39
  5. Step 5: Solve for x
    x = 296,357.39/558.54
  6. Step 6: Final answer
    x = 530.59

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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.