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Finding the Fourth Proportional to 698.04, 963.03 and 418.28

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Solution

The fourth proportional to 698.04, 963.03 and 418.28 is: 577.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    698.04 : 963.03 = 418.28 : x
  2. Step 2: Convert to fraction form
    698.04/963.03 = 418.28/x
  3. Step 3: Cross multiply
    698.04x = 963.03 × 418.28
  4. Step 4: Simplify right side
    698.04x = 402,816.19
  5. Step 5: Solve for x
    x = 402,816.19/698.04
  6. Step 6: Final answer
    x = 577.07

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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.