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Finding the Fourth Proportional to 528.63, 729.53 and 295.75

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Solution

The fourth proportional to 528.63, 729.53 and 295.75 is: 408.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    528.63 : 729.53 = 295.75 : x
  2. Step 2: Convert to fraction form
    528.63/729.53 = 295.75/x
  3. Step 3: Cross multiply
    528.63x = 729.53 × 295.75
  4. Step 4: Simplify right side
    528.63x = 215,758.50
  5. Step 5: Solve for x
    x = 215,758.50/528.63
  6. Step 6: Final answer
    x = 408.15

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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.