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Finding the Fourth Proportional to 614.50, 846.68 and 417.66

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Solution

The fourth proportional to 614.50, 846.68 and 417.66 is: 575.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    614.50 : 846.68 = 417.66 : x
  2. Step 2: Convert to fraction form
    614.50/846.68 = 417.66/x
  3. Step 3: Cross multiply
    614.50x = 846.68 × 417.66
  4. Step 4: Simplify right side
    614.50x = 353,624.37
  5. Step 5: Solve for x
    x = 353,624.37/614.50
  6. Step 6: Final answer
    x = 575.47

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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.