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Finding the Fourth Proportional to 678.30, 933.27 and 635.10

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Solution

The fourth proportional to 678.30, 933.27 and 635.10 is: 873.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    678.30 : 933.27 = 635.10 : x
  2. Step 2: Convert to fraction form
    678.30/933.27 = 635.10/x
  3. Step 3: Cross multiply
    678.30x = 933.27 × 635.10
  4. Step 4: Simplify right side
    678.30x = 592,719.78
  5. Step 5: Solve for x
    x = 592,719.78/678.30
  6. Step 6: Final answer
    x = 873.83

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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.