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Finding the Fourth Proportional to 528.38, 729.16 and 295.50

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Solution

The fourth proportional to 528.38, 729.16 and 295.50 is: 407.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    528.38 : 729.16 = 295.50 : x
  2. Step 2: Convert to fraction form
    528.38/729.16 = 295.50/x
  3. Step 3: Cross multiply
    528.38x = 729.16 × 295.50
  4. Step 4: Simplify right side
    528.38x = 215,466.04
  5. Step 5: Solve for x
    x = 215,466.04/528.38
  6. Step 6: Final answer
    x = 407.79

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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.