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Finding the Fourth Proportional to 528.66, 729.54 and 295.79

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Solution

The fourth proportional to 528.66, 729.54 and 295.79 is: 408.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    528.66 : 729.54 = 295.79 : x
  2. Step 2: Convert to fraction form
    528.66/729.54 = 295.79/x
  3. Step 3: Cross multiply
    528.66x = 729.54 × 295.79
  4. Step 4: Simplify right side
    528.66x = 215,786.99
  5. Step 5: Solve for x
    x = 215,786.99/528.66
  6. Step 6: Final answer
    x = 408.18

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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.