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Finding the Fourth Proportional to 528.98, 730.02 and 296.09

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Solution

The fourth proportional to 528.98, 730.02 and 296.09 is: 408.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    528.98 : 730.02 = 296.09 : x
  2. Step 2: Convert to fraction form
    528.98/730.02 = 296.09/x
  3. Step 3: Cross multiply
    528.98x = 730.02 × 296.09
  4. Step 4: Simplify right side
    528.98x = 216,151.62
  5. Step 5: Solve for x
    x = 216,151.62/528.98
  6. Step 6: Final answer
    x = 408.62

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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.