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Finding the Fourth Proportional to 563.08, 777 and 330.16

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Solution

The fourth proportional to 563.08, 777 and 330.16 is: 455.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    563.08 : 777 = 330.16 : x
  2. Step 2: Convert to fraction form
    563.08/777 = 330.16/x
  3. Step 3: Cross multiply
    563.08x = 777 × 330.16
  4. Step 4: Simplify right side
    563.08x = 256,534.32
  5. Step 5: Solve for x
    x = 256,534.32/563.08
  6. Step 6: Final answer
    x = 455.59

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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.