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Finding the Fourth Proportional to 565.83, 850.37 and 277.47

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Solution

The fourth proportional to 565.83, 850.37 and 277.47 is: 417.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    565.83 : 850.37 = 277.47 : x
  2. Step 2: Convert to fraction form
    565.83/850.37 = 277.47/x
  3. Step 3: Cross multiply
    565.83x = 850.37 × 277.47
  4. Step 4: Simplify right side
    565.83x = 235,950.78
  5. Step 5: Solve for x
    x = 235,950.78/565.83
  6. Step 6: Final answer
    x = 417.00

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.