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Finding the Fourth Proportional to 565.51, 780 and 366.34

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Solution

The fourth proportional to 565.51, 780 and 366.34 is: 505.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    565.51 : 780 = 366.34 : x
  2. Step 2: Convert to fraction form
    565.51/780 = 366.34/x
  3. Step 3: Cross multiply
    565.51x = 780 × 366.34
  4. Step 4: Simplify right side
    565.51x = 285,745.20
  5. Step 5: Solve for x
    x = 285,745.20/565.51
  6. Step 6: Final answer
    x = 505.29

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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.