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Finding the Fourth Proportional to 563, 776.94 and 330.14

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Solution

The fourth proportional to 563, 776.94 and 330.14 is: 455.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    563 : 776.94 = 330.14 : x
  2. Step 2: Convert to fraction form
    563/776.94 = 330.14/x
  3. Step 3: Cross multiply
    563x = 776.94 × 330.14
  4. Step 4: Simplify right side
    563x = 256,498.97
  5. Step 5: Solve for x
    x = 256,498.97/563
  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.