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Finding the Fourth Proportional to 528.26, 729.01 and 295.46

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Solution

The fourth proportional to 528.26, 729.01 and 295.46 is: 407.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    528.26 : 729.01 = 295.46 : x
  2. Step 2: Convert to fraction form
    528.26/729.01 = 295.46/x
  3. Step 3: Cross multiply
    528.26x = 729.01 × 295.46
  4. Step 4: Simplify right side
    528.26x = 215,393.29
  5. Step 5: Solve for x
    x = 215,393.29/528.26
  6. Step 6: Final answer
    x = 407.74

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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.