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Finding the Fourth Proportional to 563.14, 848.52 and 467.76

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Solution

The fourth proportional to 563.14, 848.52 and 467.76 is: 704.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    563.14 : 848.52 = 467.76 : x
  2. Step 2: Convert to fraction form
    563.14/848.52 = 467.76/x
  3. Step 3: Cross multiply
    563.14x = 848.52 × 467.76
  4. Step 4: Simplify right side
    563.14x = 396,903.72
  5. Step 5: Solve for x
    x = 396,903.72/563.14
  6. Step 6: Final answer
    x = 704.80

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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.