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Finding the Fourth Proportional to 477.78, 659.38 and 291.28

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Solution

The fourth proportional to 477.78, 659.38 and 291.28 is: 401.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    477.78 : 659.38 = 291.28 : x
  2. Step 2: Convert to fraction form
    477.78/659.38 = 291.28/x
  3. Step 3: Cross multiply
    477.78x = 659.38 × 291.28
  4. Step 4: Simplify right side
    477.78x = 192,064.21
  5. Step 5: Solve for x
    x = 192,064.21/477.78
  6. Step 6: Final answer
    x = 401.99

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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.