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Finding the Fourth Proportional to 697.85, 963.09 and 418.10

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Solution

The fourth proportional to 697.85, 963.09 and 418.10 is: 577.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    697.85 : 963.09 = 418.10 : x
  2. Step 2: Convert to fraction form
    697.85/963.09 = 418.10/x
  3. Step 3: Cross multiply
    697.85x = 963.09 × 418.10
  4. Step 4: Simplify right side
    697.85x = 402,663.11
  5. Step 5: Solve for x
    x = 402,663.11/697.85
  6. Step 6: Final answer
    x = 577.01

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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.