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Finding the Fourth Proportional to 614.56, 846.77 and 417.73

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Solution

The fourth proportional to 614.56, 846.77 and 417.73 is: 575.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    614.56 : 846.77 = 417.73 : x
  2. Step 2: Convert to fraction form
    614.56/846.77 = 417.73/x
  3. Step 3: Cross multiply
    614.56x = 846.77 × 417.73
  4. Step 4: Simplify right side
    614.56x = 353,721.23
  5. Step 5: Solve for x
    x = 353,721.23/614.56
  6. Step 6: Final answer
    x = 575.57

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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.