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Finding the Fourth Proportional to 563.95, 778.44 and 342.91

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Solution

The fourth proportional to 563.95, 778.44 and 342.91 is: 473.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    563.95 : 778.44 = 342.91 : x
  2. Step 2: Convert to fraction form
    563.95/778.44 = 342.91/x
  3. Step 3: Cross multiply
    563.95x = 778.44 × 342.91
  4. Step 4: Simplify right side
    563.95x = 266,934.86
  5. Step 5: Solve for x
    x = 266,934.86/563.95
  6. Step 6: Final answer
    x = 473.33

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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.