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Finding the Fourth Proportional to 564.21, 777.81 and 464.70

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Solution

The fourth proportional to 564.21, 777.81 and 464.70 is: 640.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    564.21 : 777.81 = 464.70 : x
  2. Step 2: Convert to fraction form
    564.21/777.81 = 464.70/x
  3. Step 3: Cross multiply
    564.21x = 777.81 × 464.70
  4. Step 4: Simplify right side
    564.21x = 361,448.31
  5. Step 5: Solve for x
    x = 361,448.31/564.21
  6. Step 6: Final answer
    x = 640.63

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.