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Finding the Fourth Proportional to 565.18, 779.26 and 460.05

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Solution

The fourth proportional to 565.18, 779.26 and 460.05 is: 634.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    565.18 : 779.26 = 460.05 : x
  2. Step 2: Convert to fraction form
    565.18/779.26 = 460.05/x
  3. Step 3: Cross multiply
    565.18x = 779.26 × 460.05
  4. Step 4: Simplify right side
    565.18x = 358,496.61
  5. Step 5: Solve for x
    x = 358,496.61/565.18
  6. Step 6: Final answer
    x = 634.31

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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.