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Finding the Fourth Proportional to 678.00, 935.35 and 456.87

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Solution

The fourth proportional to 678.00, 935.35 and 456.87 is: 630.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    678.00 : 935.35 = 456.87 : x
  2. Step 2: Convert to fraction form
    678.00/935.35 = 456.87/x
  3. Step 3: Cross multiply
    678.00x = 935.35 × 456.87
  4. Step 4: Simplify right side
    678.00x = 427,335.72
  5. Step 5: Solve for x
    x = 427,335.72/678.00
  6. Step 6: Final answer
    x = 630.29

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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.