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Finding the Fourth Proportional to 564.01, 777.59 and 367.45

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Solution

The fourth proportional to 564.01, 777.59 and 367.45 is: 506.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    564.01 : 777.59 = 367.45 : x
  2. Step 2: Convert to fraction form
    564.01/777.59 = 367.45/x
  3. Step 3: Cross multiply
    564.01x = 777.59 × 367.45
  4. Step 4: Simplify right side
    564.01x = 285,725.45
  5. Step 5: Solve for x
    x = 285,725.45/564.01
  6. Step 6: Final answer
    x = 506.60

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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.