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Finding the Fourth Proportional to 464.84, 641.21 and 409.71

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Solution

The fourth proportional to 464.84, 641.21 and 409.71 is: 565.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    464.84 : 641.21 = 409.71 : x
  2. Step 2: Convert to fraction form
    464.84/641.21 = 409.71/x
  3. Step 3: Cross multiply
    464.84x = 641.21 × 409.71
  4. Step 4: Simplify right side
    464.84x = 262,711.17
  5. Step 5: Solve for x
    x = 262,711.17/464.84
  6. Step 6: Final answer
    x = 565.17

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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.