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Finding the Fourth Proportional to 477.71, 659.55 and 366.99

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Solution

The fourth proportional to 477.71, 659.55 and 366.99 is: 506.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    477.71 : 659.55 = 366.99 : x
  2. Step 2: Convert to fraction form
    477.71/659.55 = 366.99/x
  3. Step 3: Cross multiply
    477.71x = 659.55 × 366.99
  4. Step 4: Simplify right side
    477.71x = 242,045.87
  5. Step 5: Solve for x
    x = 242,045.87/477.71
  6. Step 6: Final answer
    x = 506.68

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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.