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Finding the Fourth Proportional to 565.24, 779.80 and 344.08

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Solution

The fourth proportional to 565.24, 779.80 and 344.08 is: 474.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    565.24 : 779.80 = 344.08 : x
  2. Step 2: Convert to fraction form
    565.24/779.80 = 344.08/x
  3. Step 3: Cross multiply
    565.24x = 779.80 × 344.08
  4. Step 4: Simplify right side
    565.24x = 268,313.58
  5. Step 5: Solve for x
    x = 268,313.58/565.24
  6. Step 6: Final answer
    x = 474.69

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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.