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Finding the Fourth Proportional to 477.72, 659.61 and 367.02

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Solution

The fourth proportional to 477.72, 659.61 and 367.02 is: 506.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    477.72 : 659.61 = 367.02 : x
  2. Step 2: Convert to fraction form
    477.72/659.61 = 367.02/x
  3. Step 3: Cross multiply
    477.72x = 659.61 × 367.02
  4. Step 4: Simplify right side
    477.72x = 242,090.06
  5. Step 5: Solve for x
    x = 242,090.06/477.72
  6. Step 6: Final answer
    x = 506.76

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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.