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Finding the Fourth Proportional to 463.51, 698.00 and 403.37

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Solution

The fourth proportional to 463.51, 698.00 and 403.37 is: 607.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    463.51 : 698.00 = 403.37 : x
  2. Step 2: Convert to fraction form
    463.51/698.00 = 403.37/x
  3. Step 3: Cross multiply
    463.51x = 698.00 × 403.37
  4. Step 4: Simplify right side
    463.51x = 281,549.78
  5. Step 5: Solve for x
    x = 281,549.78/463.51
  6. Step 6: Final answer
    x = 607.43

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.