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Finding the Fourth Proportional to 635.94, 876.89 and 414.51

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Solution

The fourth proportional to 635.94, 876.89 and 414.51 is: 571.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    635.94 : 876.89 = 414.51 : x
  2. Step 2: Convert to fraction form
    635.94/876.89 = 414.51/x
  3. Step 3: Cross multiply
    635.94x = 876.89 × 414.51
  4. Step 4: Simplify right side
    635.94x = 363,479.67
  5. Step 5: Solve for x
    x = 363,479.67/635.94
  6. Step 6: Final answer
    x = 571.56

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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.