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Finding the Fourth Proportional to 852.55, 1,278.64 and 304.77

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Solution

The fourth proportional to 852.55, 1,278.64 and 304.77 is: 457.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    852.55 : 1,278.64 = 304.77 : x
  2. Step 2: Convert to fraction form
    852.55/1,278.64 = 304.77/x
  3. Step 3: Cross multiply
    852.55x = 1,278.64 × 304.77
  4. Step 4: Simplify right side
    852.55x = 389,691.11
  5. Step 5: Solve for x
    x = 389,691.11/852.55
  6. Step 6: Final answer
    x = 457.09

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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.