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Finding the Fourth Proportional to 563.65, 777.81 and 364.26

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Solution

The fourth proportional to 563.65, 777.81 and 364.26 is: 502.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    563.65 : 777.81 = 364.26 : x
  2. Step 2: Convert to fraction form
    563.65/777.81 = 364.26/x
  3. Step 3: Cross multiply
    563.65x = 777.81 × 364.26
  4. Step 4: Simplify right side
    563.65x = 283,325.07
  5. Step 5: Solve for x
    x = 283,325.07/563.65
  6. Step 6: Final answer
    x = 502.66

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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.