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Finding the Fourth Proportional to 563.10, 776.96 and 330.10

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Solution

The fourth proportional to 563.10, 776.96 and 330.10 is: 455.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    563.10 : 776.96 = 330.10 : x
  2. Step 2: Convert to fraction form
    563.10/776.96 = 330.10/x
  3. Step 3: Cross multiply
    563.10x = 776.96 × 330.10
  4. Step 4: Simplify right side
    563.10x = 256,474.50
  5. Step 5: Solve for x
    x = 256,474.50/563.10
  6. Step 6: Final answer
    x = 455.47

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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.