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Finding the Fourth Proportional to 528.63, 729.50 and 295.80

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Solution

The fourth proportional to 528.63, 729.50 and 295.80 is: 408.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    528.63 : 729.50 = 295.80 : x
  2. Step 2: Convert to fraction form
    528.63/729.50 = 295.80/x
  3. Step 3: Cross multiply
    528.63x = 729.50 × 295.80
  4. Step 4: Simplify right side
    528.63x = 215,786.10
  5. Step 5: Solve for x
    x = 215,786.10/528.63
  6. Step 6: Final answer
    x = 408.20

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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.