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Finding the Fourth Proportional to 617.99, 851.65 and 477.86

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Solution

The fourth proportional to 617.99, 851.65 and 477.86 is: 658.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    617.99 : 851.65 = 477.86 : x
  2. Step 2: Convert to fraction form
    617.99/851.65 = 477.86/x
  3. Step 3: Cross multiply
    617.99x = 851.65 × 477.86
  4. Step 4: Simplify right side
    617.99x = 406,964.02
  5. Step 5: Solve for x
    x = 406,964.02/617.99
  6. Step 6: Final answer
    x = 658.53

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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.