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Finding the Fourth Proportional to 622.25, 858.71 and 346.25

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Solution

The fourth proportional to 622.25, 858.71 and 346.25 is: 477.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    622.25 : 858.71 = 346.25 : x
  2. Step 2: Convert to fraction form
    622.25/858.71 = 346.25/x
  3. Step 3: Cross multiply
    622.25x = 858.71 × 346.25
  4. Step 4: Simplify right side
    622.25x = 297,326.61
  5. Step 5: Solve for x
    x = 297,326.61/622.25
  6. Step 6: Final answer
    x = 477.83

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.