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Finding the Fourth Proportional to 410.84, 567.03 and 253.49

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Solution

The fourth proportional to 410.84, 567.03 and 253.49 is: 349.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    410.84 : 567.03 = 253.49 : x
  2. Step 2: Convert to fraction form
    410.84/567.03 = 253.49/x
  3. Step 3: Cross multiply
    410.84x = 567.03 × 253.49
  4. Step 4: Simplify right side
    410.84x = 143,736.43
  5. Step 5: Solve for x
    x = 143,736.43/410.84
  6. Step 6: Final answer
    x = 349.86

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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.