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Finding the Fourth Proportional to 559.04, 771.03 and 362.61

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Solution

The fourth proportional to 559.04, 771.03 and 362.61 is: 500.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    559.04 : 771.03 = 362.61 : x
  2. Step 2: Convert to fraction form
    559.04/771.03 = 362.61/x
  3. Step 3: Cross multiply
    559.04x = 771.03 × 362.61
  4. Step 4: Simplify right side
    559.04x = 279,583.19
  5. Step 5: Solve for x
    x = 279,583.19/559.04
  6. Step 6: Final answer
    x = 500.12

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.