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Finding the Fourth Proportional to 300.64, 448.52 and 286.88

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Solution

The fourth proportional to 300.64, 448.52 and 286.88 is: 427.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    300.64 : 448.52 = 286.88 : x
  2. Step 2: Convert to fraction form
    300.64/448.52 = 286.88/x
  3. Step 3: Cross multiply
    300.64x = 448.52 × 286.88
  4. Step 4: Simplify right side
    300.64x = 128,671.42
  5. Step 5: Solve for x
    x = 128,671.42/300.64
  6. Step 6: Final answer
    x = 427.99

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Why These Related Problems?

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