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Finding the Fourth Proportional to 565.41, 781.26 and 435.54

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Solution

The fourth proportional to 565.41, 781.26 and 435.54 is: 601.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    565.41 : 781.26 = 435.54 : x
  2. Step 2: Convert to fraction form
    565.41/781.26 = 435.54/x
  3. Step 3: Cross multiply
    565.41x = 781.26 × 435.54
  4. Step 4: Simplify right side
    565.41x = 340,269.98
  5. Step 5: Solve for x
    x = 340,269.98/565.41
  6. Step 6: Final answer
    x = 601.81

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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.