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Finding the Fourth Proportional to 614.12, 920.08 and 288.80

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Solution

The fourth proportional to 614.12, 920.08 and 288.80 is: 432.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    614.12 : 920.08 = 288.80 : x
  2. Step 2: Convert to fraction form
    614.12/920.08 = 288.80/x
  3. Step 3: Cross multiply
    614.12x = 920.08 × 288.80
  4. Step 4: Simplify right side
    614.12x = 265,719.10
  5. Step 5: Solve for x
    x = 265,719.10/614.12
  6. Step 6: Final answer
    x = 432.68

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.