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Finding the Fourth Proportional to 635.30, 876.93 and 446.30

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Solution

The fourth proportional to 635.30, 876.93 and 446.30 is: 616.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    635.30 : 876.93 = 446.30 : x
  2. Step 2: Convert to fraction form
    635.30/876.93 = 446.30/x
  3. Step 3: Cross multiply
    635.30x = 876.93 × 446.30
  4. Step 4: Simplify right side
    635.30x = 391,373.86
  5. Step 5: Solve for x
    x = 391,373.86/635.30
  6. Step 6: Final answer
    x = 616.05

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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.