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Finding the Fourth Proportional to 477.57, 659.34 and 366.83

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Solution

The fourth proportional to 477.57, 659.34 and 366.83 is: 506.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    477.57 : 659.34 = 366.83 : x
  2. Step 2: Convert to fraction form
    477.57/659.34 = 366.83/x
  3. Step 3: Cross multiply
    477.57x = 659.34 × 366.83
  4. Step 4: Simplify right side
    477.57x = 241,865.69
  5. Step 5: Solve for x
    x = 241,865.69/477.57
  6. Step 6: Final answer
    x = 506.45

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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.