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Finding the Fourth Proportional to 294.68, 405.43 and 287.77

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Solution

The fourth proportional to 294.68, 405.43 and 287.77 is: 395.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    294.68 : 405.43 = 287.77 : x
  2. Step 2: Convert to fraction form
    294.68/405.43 = 287.77/x
  3. Step 3: Cross multiply
    294.68x = 405.43 × 287.77
  4. Step 4: Simplify right side
    294.68x = 116,668.72
  5. Step 5: Solve for x
    x = 116,668.72/294.68
  6. Step 6: Final answer
    x = 395.92

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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.