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Finding the Fourth Proportional to 528.99, 730.01 and 296.12

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Solution

The fourth proportional to 528.99, 730.01 and 296.12 is: 408.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    528.99 : 730.01 = 296.12 : x
  2. Step 2: Convert to fraction form
    528.99/730.01 = 296.12/x
  3. Step 3: Cross multiply
    528.99x = 730.01 × 296.12
  4. Step 4: Simplify right side
    528.99x = 216,165.43
  5. Step 5: Solve for x
    x = 216,165.43/528.99
  6. Step 6: Final answer
    x = 408.64

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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.