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Finding the Fourth Proportional to 528.98, 729.96 and 296.12

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Solution

The fourth proportional to 528.98, 729.96 and 296.12 is: 408.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    528.98 : 729.96 = 296.12 : x
  2. Step 2: Convert to fraction form
    528.98/729.96 = 296.12/x
  3. Step 3: Cross multiply
    528.98x = 729.96 × 296.12
  4. Step 4: Simplify right side
    528.98x = 216,155.76
  5. Step 5: Solve for x
    x = 216,155.76/528.98
  6. Step 6: Final answer
    x = 408.63

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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.