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Finding the Fourth Proportional to 852.71, 1,279.08 and 304.79

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Solution

The fourth proportional to 852.71, 1,279.08 and 304.79 is: 457.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    852.71 : 1,279.08 = 304.79 : x
  2. Step 2: Convert to fraction form
    852.71/1,279.08 = 304.79/x
  3. Step 3: Cross multiply
    852.71x = 1,279.08 × 304.79
  4. Step 4: Simplify right side
    852.71x = 389,844.40
  5. Step 5: Solve for x
    x = 389,844.40/852.71
  6. Step 6: Final answer
    x = 457.19

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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.