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Finding the Fourth Proportional to 565.14, 779.88 and 344.10

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Solution

The fourth proportional to 565.14, 779.88 and 344.10 is: 474.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    565.14 : 779.88 = 344.10 : x
  2. Step 2: Convert to fraction form
    565.14/779.88 = 344.10/x
  3. Step 3: Cross multiply
    565.14x = 779.88 × 344.10
  4. Step 4: Simplify right side
    565.14x = 268,356.71
  5. Step 5: Solve for x
    x = 268,356.71/565.14
  6. Step 6: Final answer
    x = 474.85

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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.