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Finding the Fourth Proportional to 565.66, 842.59 and 558.37

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Solution

The fourth proportional to 565.66, 842.59 and 558.37 is: 831.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    565.66 : 842.59 = 558.37 : x
  2. Step 2: Convert to fraction form
    565.66/842.59 = 558.37/x
  3. Step 3: Cross multiply
    565.66x = 842.59 × 558.37
  4. Step 4: Simplify right side
    565.66x = 470,473.48
  5. Step 5: Solve for x
    x = 470,473.48/565.66
  6. Step 6: Final answer
    x = 831.73

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.