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Finding the Fourth Proportional to 565.10, 779.84 and 344.01

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Solution

The fourth proportional to 565.10, 779.84 and 344.01 is: 474.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    565.10 : 779.84 = 344.01 : x
  2. Step 2: Convert to fraction form
    565.10/779.84 = 344.01/x
  3. Step 3: Cross multiply
    565.10x = 779.84 × 344.01
  4. Step 4: Simplify right side
    565.10x = 268,272.45
  5. Step 5: Solve for x
    x = 268,272.45/565.10
  6. Step 6: Final answer
    x = 474.73

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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.