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Finding the Fourth Proportional to 563.26, 777.30 and 330.38

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Solution

The fourth proportional to 563.26, 777.30 and 330.38 is: 455.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    563.26 : 777.30 = 330.38 : x
  2. Step 2: Convert to fraction form
    563.26/777.30 = 330.38/x
  3. Step 3: Cross multiply
    563.26x = 777.30 × 330.38
  4. Step 4: Simplify right side
    563.26x = 256,804.37
  5. Step 5: Solve for x
    x = 256,804.37/563.26
  6. Step 6: Final answer
    x = 455.93

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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.