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Finding the Fourth Proportional to 564.28, 777.64 and 406.64

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Solution

The fourth proportional to 564.28, 777.64 and 406.64 is: 560.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    564.28 : 777.64 = 406.64 : x
  2. Step 2: Convert to fraction form
    564.28/777.64 = 406.64/x
  3. Step 3: Cross multiply
    564.28x = 777.64 × 406.64
  4. Step 4: Simplify right side
    564.28x = 316,219.53
  5. Step 5: Solve for x
    x = 316,219.53/564.28
  6. Step 6: Final answer
    x = 560.39

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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.