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Finding the Fourth Proportional to 287.36, 431.66 and 277.12

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Solution

The fourth proportional to 287.36, 431.66 and 277.12 is: 416.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    287.36 : 431.66 = 277.12 : x
  2. Step 2: Convert to fraction form
    287.36/431.66 = 277.12/x
  3. Step 3: Cross multiply
    287.36x = 431.66 × 277.12
  4. Step 4: Simplify right side
    287.36x = 119,621.62
  5. Step 5: Solve for x
    x = 119,621.62/287.36
  6. Step 6: Final answer
    x = 416.28

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Why These Related Problems?

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