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Finding the Fourth Proportional to 528.06, 727.85 and 422.96

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Solution

The fourth proportional to 528.06, 727.85 and 422.96 is: 582.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    528.06 : 727.85 = 422.96 : x
  2. Step 2: Convert to fraction form
    528.06/727.85 = 422.96/x
  3. Step 3: Cross multiply
    528.06x = 727.85 × 422.96
  4. Step 4: Simplify right side
    528.06x = 307,852.49
  5. Step 5: Solve for x
    x = 307,852.49/528.06
  6. Step 6: Final answer
    x = 582.99

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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.