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Finding the Fourth Proportional to 614.48, 847.68 and 378.50

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Solution

The fourth proportional to 614.48, 847.68 and 378.50 is: 522.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    614.48 : 847.68 = 378.50 : x
  2. Step 2: Convert to fraction form
    614.48/847.68 = 378.50/x
  3. Step 3: Cross multiply
    614.48x = 847.68 × 378.50
  4. Step 4: Simplify right side
    614.48x = 320,846.88
  5. Step 5: Solve for x
    x = 320,846.88/614.48
  6. Step 6: Final answer
    x = 522.14

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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.