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Finding the Fourth Proportional to 610.29, 914.72 and 366.84

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Solution

The fourth proportional to 610.29, 914.72 and 366.84 is: 549.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    610.29 : 914.72 = 366.84 : x
  2. Step 2: Convert to fraction form
    610.29/914.72 = 366.84/x
  3. Step 3: Cross multiply
    610.29x = 914.72 × 366.84
  4. Step 4: Simplify right side
    610.29x = 335,554.05
  5. Step 5: Solve for x
    x = 335,554.05/610.29
  6. Step 6: Final answer
    x = 549.83

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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.