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Finding the Fourth Proportional to 558.04, 838.09 and 327.04

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Solution

The fourth proportional to 558.04, 838.09 and 327.04 is: 491.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    558.04 : 838.09 = 327.04 : x
  2. Step 2: Convert to fraction form
    558.04/838.09 = 327.04/x
  3. Step 3: Cross multiply
    558.04x = 838.09 × 327.04
  4. Step 4: Simplify right side
    558.04x = 274,088.95
  5. Step 5: Solve for x
    x = 274,088.95/558.04
  6. Step 6: Final answer
    x = 491.16

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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.