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Finding the Fourth Proportional to 410.17, 564.83 and 366.49

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Solution

The fourth proportional to 410.17, 564.83 and 366.49 is: 504.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    410.17 : 564.83 = 366.49 : x
  2. Step 2: Convert to fraction form
    410.17/564.83 = 366.49/x
  3. Step 3: Cross multiply
    410.17x = 564.83 × 366.49
  4. Step 4: Simplify right side
    410.17x = 207,002.71
  5. Step 5: Solve for x
    x = 207,002.71/410.17
  6. Step 6: Final answer
    x = 504.68

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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.