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Finding the Fourth Proportional to 565.83, 780.87 and 355.94

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Solution

The fourth proportional to 565.83, 780.87 and 355.94 is: 491.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    565.83 : 780.87 = 355.94 : x
  2. Step 2: Convert to fraction form
    565.83/780.87 = 355.94/x
  3. Step 3: Cross multiply
    565.83x = 780.87 × 355.94
  4. Step 4: Simplify right side
    565.83x = 277,942.87
  5. Step 5: Solve for x
    x = 277,942.87/565.83
  6. Step 6: Final answer
    x = 491.21

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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.