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Finding the Fourth Proportional to 622.57, 858.73 and 401.17

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Solution

The fourth proportional to 622.57, 858.73 and 401.17 is: 553.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    622.57 : 858.73 = 401.17 : x
  2. Step 2: Convert to fraction form
    622.57/858.73 = 401.17/x
  3. Step 3: Cross multiply
    622.57x = 858.73 × 401.17
  4. Step 4: Simplify right side
    622.57x = 344,496.71
  5. Step 5: Solve for x
    x = 344,496.71/622.57
  6. Step 6: Final answer
    x = 553.35

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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.