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Finding the Fourth Proportional to 610.23, 913.83 and 362.83

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Solution

The fourth proportional to 610.23, 913.83 and 362.83 is: 543.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    610.23 : 913.83 = 362.83 : x
  2. Step 2: Convert to fraction form
    610.23/913.83 = 362.83/x
  3. Step 3: Cross multiply
    610.23x = 913.83 × 362.83
  4. Step 4: Simplify right side
    610.23x = 331,565.05
  5. Step 5: Solve for x
    x = 331,565.05/610.23
  6. Step 6: Final answer
    x = 543.34

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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.