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Finding the Fourth Proportional to 614.60, 848.16 and 334.85

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Solution

The fourth proportional to 614.60, 848.16 and 334.85 is: 462.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    614.60 : 848.16 = 334.85 : x
  2. Step 2: Convert to fraction form
    614.60/848.16 = 334.85/x
  3. Step 3: Cross multiply
    614.60x = 848.16 × 334.85
  4. Step 4: Simplify right side
    614.60x = 284,002.14
  5. Step 5: Solve for x
    x = 284,002.14/614.60
  6. Step 6: Final answer
    x = 462.10

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.