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Finding the Fourth Proportional to 464.94, 645.82 and 457.50

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Solution

The fourth proportional to 464.94, 645.82 and 457.50 is: 635.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    464.94 : 645.82 = 457.50 : x
  2. Step 2: Convert to fraction form
    464.94/645.82 = 457.50/x
  3. Step 3: Cross multiply
    464.94x = 645.82 × 457.50
  4. Step 4: Simplify right side
    464.94x = 295,462.87
  5. Step 5: Solve for x
    x = 295,462.87/464.94
  6. Step 6: Final answer
    x = 635.49

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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.