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Finding the Fourth Proportional to 563.95, 778.71 and 466.30

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Solution

The fourth proportional to 563.95, 778.71 and 466.30 is: 643.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    563.95 : 778.71 = 466.30 : x
  2. Step 2: Convert to fraction form
    563.95/778.71 = 466.30/x
  3. Step 3: Cross multiply
    563.95x = 778.71 × 466.30
  4. Step 4: Simplify right side
    563.95x = 363,112.47
  5. Step 5: Solve for x
    x = 363,112.47/563.95
  6. Step 6: Final answer
    x = 643.87

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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.