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Finding the Fourth Proportional to 477.06, 658.66 and 366.34

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Solution

The fourth proportional to 477.06, 658.66 and 366.34 is: 505.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    477.06 : 658.66 = 366.34 : x
  2. Step 2: Convert to fraction form
    477.06/658.66 = 366.34/x
  3. Step 3: Cross multiply
    477.06x = 658.66 × 366.34
  4. Step 4: Simplify right side
    477.06x = 241,293.50
  5. Step 5: Solve for x
    x = 241,293.50/477.06
  6. Step 6: Final answer
    x = 505.79

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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.