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Finding the Fourth Proportional to 478.52, 659.10 and 367.79

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Solution

The fourth proportional to 478.52, 659.10 and 367.79 is: 506.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    478.52 : 659.10 = 367.79 : x
  2. Step 2: Convert to fraction form
    478.52/659.10 = 367.79/x
  3. Step 3: Cross multiply
    478.52x = 659.10 × 367.79
  4. Step 4: Simplify right side
    478.52x = 242,408.47
  5. Step 5: Solve for x
    x = 242,408.47/478.52
  6. Step 6: Final answer
    x = 506.58

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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.