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Finding the Fourth Proportional to 287.91, 396.70 and 264.32

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Solution

The fourth proportional to 287.91, 396.70 and 264.32 is: 364.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    287.91 : 396.70 = 264.32 : x
  2. Step 2: Convert to fraction form
    287.91/396.70 = 264.32/x
  3. Step 3: Cross multiply
    287.91x = 396.70 × 264.32
  4. Step 4: Simplify right side
    287.91x = 104,855.74
  5. Step 5: Solve for x
    x = 104,855.74/287.91
  6. Step 6: Final answer
    x = 364.20

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.