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Finding the Fourth Proportional to 565.76, 779.82 and 434.81

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Solution

The fourth proportional to 565.76, 779.82 and 434.81 is: 599.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    565.76 : 779.82 = 434.81 : x
  2. Step 2: Convert to fraction form
    565.76/779.82 = 434.81/x
  3. Step 3: Cross multiply
    565.76x = 779.82 × 434.81
  4. Step 4: Simplify right side
    565.76x = 339,073.53
  5. Step 5: Solve for x
    x = 339,073.53/565.76
  6. Step 6: Final answer
    x = 599.32

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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.