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Finding the Fourth Proportional to 477.78, 659.40 and 361.14

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Solution

The fourth proportional to 477.78, 659.40 and 361.14 is: 498.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    477.78 : 659.40 = 361.14 : x
  2. Step 2: Convert to fraction form
    477.78/659.40 = 361.14/x
  3. Step 3: Cross multiply
    477.78x = 659.40 × 361.14
  4. Step 4: Simplify right side
    477.78x = 238,135.72
  5. Step 5: Solve for x
    x = 238,135.72/477.78
  6. Step 6: Final answer
    x = 498.42

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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.