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Finding the Fourth Proportional to 565.77, 779.99 and 424.19

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Solution

The fourth proportional to 565.77, 779.99 and 424.19 is: 584.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    565.77 : 779.99 = 424.19 : x
  2. Step 2: Convert to fraction form
    565.77/779.99 = 424.19/x
  3. Step 3: Cross multiply
    565.77x = 779.99 × 424.19
  4. Step 4: Simplify right side
    565.77x = 330,865.51
  5. Step 5: Solve for x
    x = 330,865.51/565.77
  6. Step 6: Final answer
    x = 584.81

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.