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Finding the Fourth Proportional to 678.03, 935.85 and 456.90

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Solution

The fourth proportional to 678.03, 935.85 and 456.90 is: 630.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    678.03 : 935.85 = 456.90 : x
  2. Step 2: Convert to fraction form
    678.03/935.85 = 456.90/x
  3. Step 3: Cross multiply
    678.03x = 935.85 × 456.90
  4. Step 4: Simplify right side
    678.03x = 427,589.87
  5. Step 5: Solve for x
    x = 427,589.87/678.03
  6. Step 6: Final answer
    x = 630.64

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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.