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Finding the Fourth Proportional to 304.64, 453.75 and 277.10

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Solution

The fourth proportional to 304.64, 453.75 and 277.10 is: 412.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    304.64 : 453.75 = 277.10 : x
  2. Step 2: Convert to fraction form
    304.64/453.75 = 277.10/x
  3. Step 3: Cross multiply
    304.64x = 453.75 × 277.10
  4. Step 4: Simplify right side
    304.64x = 125,734.13
  5. Step 5: Solve for x
    x = 125,734.13/304.64
  6. Step 6: Final answer
    x = 412.73

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.