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Finding the Fourth Proportional to 558.09, 831.87 and 514.35

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Solution

The fourth proportional to 558.09, 831.87 and 514.35 is: 766.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    558.09 : 831.87 = 514.35 : x
  2. Step 2: Convert to fraction form
    558.09/831.87 = 514.35/x
  3. Step 3: Cross multiply
    558.09x = 831.87 × 514.35
  4. Step 4: Simplify right side
    558.09x = 427,872.33
  5. Step 5: Solve for x
    x = 427,872.33/558.09
  6. Step 6: Final answer
    x = 766.67

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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.