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Finding the Fourth Proportional to 563, 777 and 330.32

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Solution

The fourth proportional to 563, 777 and 330.32 is: 455.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    563 : 777 = 330.32 : x
  2. Step 2: Convert to fraction form
    563/777 = 330.32/x
  3. Step 3: Cross multiply
    563x = 777 × 330.32
  4. Step 4: Simplify right side
    563x = 256,658.64
  5. Step 5: Solve for x
    x = 256,658.64/563
  6. Step 6: Final answer
    x = 455.88

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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.