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Finding the Fourth Proportional to 565.13, 779.64 and 344.00

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Solution

The fourth proportional to 565.13, 779.64 and 344.00 is: 474.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    565.13 : 779.64 = 344.00 : x
  2. Step 2: Convert to fraction form
    565.13/779.64 = 344.00/x
  3. Step 3: Cross multiply
    565.13x = 779.64 × 344.00
  4. Step 4: Simplify right side
    565.13x = 268,194.37
  5. Step 5: Solve for x
    x = 268,194.37/565.13
  6. Step 6: Final answer
    x = 474.57

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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.