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Finding the Fourth Proportional to 558.16, 838.05 and 341.08

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Solution

The fourth proportional to 558.16, 838.05 and 341.08 is: 512.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    558.16 : 838.05 = 341.08 : x
  2. Step 2: Convert to fraction form
    558.16/838.05 = 341.08/x
  3. Step 3: Cross multiply
    558.16x = 838.05 × 341.08
  4. Step 4: Simplify right side
    558.16x = 285,842.09
  5. Step 5: Solve for x
    x = 285,842.09/558.16
  6. Step 6: Final answer
    x = 512.11

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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.