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Finding the Fourth Proportional to 697.86, 963.06 and 417.99

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Solution

The fourth proportional to 697.86, 963.06 and 417.99 is: 576.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    697.86 : 963.06 = 417.99 : x
  2. Step 2: Convert to fraction form
    697.86/963.06 = 417.99/x
  3. Step 3: Cross multiply
    697.86x = 963.06 × 417.99
  4. Step 4: Simplify right side
    697.86x = 402,549.45
  5. Step 5: Solve for x
    x = 402,549.45/697.86
  6. Step 6: Final answer
    x = 576.83

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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.