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Finding the Fourth Proportional to 563.61, 778.44 and 498.00

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Solution

The fourth proportional to 563.61, 778.44 and 498.00 is: 687.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    563.61 : 778.44 = 498.00 : x
  2. Step 2: Convert to fraction form
    563.61/778.44 = 498.00/x
  3. Step 3: Cross multiply
    563.61x = 778.44 × 498.00
  4. Step 4: Simplify right side
    563.61x = 387,659.33
  5. Step 5: Solve for x
    x = 387,659.33/563.61
  6. Step 6: Final answer
    x = 687.82

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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.