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Finding the Fourth Proportional to 565.05, 779.51 and 341.07

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Solution

The fourth proportional to 565.05, 779.51 and 341.07 is: 470.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    565.05 : 779.51 = 341.07 : x
  2. Step 2: Convert to fraction form
    565.05/779.51 = 341.07/x
  3. Step 3: Cross multiply
    565.05x = 779.51 × 341.07
  4. Step 4: Simplify right side
    565.05x = 265,865.77
  5. Step 5: Solve for x
    x = 265,865.77/565.05
  6. Step 6: Final answer
    x = 470.52

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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.