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Finding the Fourth Proportional to 614.23, 847.45 and 352.19

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Solution

The fourth proportional to 614.23, 847.45 and 352.19 is: 485.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    614.23 : 847.45 = 352.19 : x
  2. Step 2: Convert to fraction form
    614.23/847.45 = 352.19/x
  3. Step 3: Cross multiply
    614.23x = 847.45 × 352.19
  4. Step 4: Simplify right side
    614.23x = 298,463.42
  5. Step 5: Solve for x
    x = 298,463.42/614.23
  6. Step 6: Final answer
    x = 485.91

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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.