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Finding the Fourth Proportional to 635.52, 876.76 and 422.93

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Solution

The fourth proportional to 635.52, 876.76 and 422.93 is: 583.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    635.52 : 876.76 = 422.93 : x
  2. Step 2: Convert to fraction form
    635.52/876.76 = 422.93/x
  3. Step 3: Cross multiply
    635.52x = 876.76 × 422.93
  4. Step 4: Simplify right side
    635.52x = 370,808.11
  5. Step 5: Solve for x
    x = 370,808.11/635.52
  6. Step 6: Final answer
    x = 583.47

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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.