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Finding the Fourth Proportional to 563.10, 848.80 and 516.30

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Solution

The fourth proportional to 563.10, 848.80 and 516.30 is: 778.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    563.10 : 848.80 = 516.30 : x
  2. Step 2: Convert to fraction form
    563.10/848.80 = 516.30/x
  3. Step 3: Cross multiply
    563.10x = 848.80 × 516.30
  4. Step 4: Simplify right side
    563.10x = 438,236.74
  5. Step 5: Solve for x
    x = 438,236.74/563.10
  6. Step 6: Final answer
    x = 778.25

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.