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Finding the Fourth Proportional to 475.69, 658.99 and 464.35

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Solution

The fourth proportional to 475.69, 658.99 and 464.35 is: 643.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    475.69 : 658.99 = 464.35 : x
  2. Step 2: Convert to fraction form
    475.69/658.99 = 464.35/x
  3. Step 3: Cross multiply
    475.69x = 658.99 × 464.35
  4. Step 4: Simplify right side
    475.69x = 306,002.01
  5. Step 5: Solve for x
    x = 306,002.01/475.69
  6. Step 6: Final answer
    x = 643.28

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These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.