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Finding the Fourth Proportional to 563.67, 777.53 and 364.41

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Solution

The fourth proportional to 563.67, 777.53 and 364.41 is: 502.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    563.67 : 777.53 = 364.41 : x
  2. Step 2: Convert to fraction form
    563.67/777.53 = 364.41/x
  3. Step 3: Cross multiply
    563.67x = 777.53 × 364.41
  4. Step 4: Simplify right side
    563.67x = 283,340.62
  5. Step 5: Solve for x
    x = 283,340.62/563.67
  6. Step 6: Final answer
    x = 502.67

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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.