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Finding the Fourth Proportional to 565.34, 779.34 and 440.86

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Solution

The fourth proportional to 565.34, 779.34 and 440.86 is: 607.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    565.34 : 779.34 = 440.86 : x
  2. Step 2: Convert to fraction form
    565.34/779.34 = 440.86/x
  3. Step 3: Cross multiply
    565.34x = 779.34 × 440.86
  4. Step 4: Simplify right side
    565.34x = 343,579.83
  5. Step 5: Solve for x
    x = 343,579.83/565.34
  6. Step 6: Final answer
    x = 607.74

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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.