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Finding the Fourth Proportional to 563.16, 777.24 and 330.36

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Solution

The fourth proportional to 563.16, 777.24 and 330.36 is: 455.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    563.16 : 777.24 = 330.36 : x
  2. Step 2: Convert to fraction form
    563.16/777.24 = 330.36/x
  3. Step 3: Cross multiply
    563.16x = 777.24 × 330.36
  4. Step 4: Simplify right side
    563.16x = 256,769.01
  5. Step 5: Solve for x
    x = 256,769.01/563.16
  6. Step 6: Final answer
    x = 455.94

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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.