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Finding the Fourth Proportional to 528.42, 729.15 and 353.82

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Solution

The fourth proportional to 528.42, 729.15 and 353.82 is: 488.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    528.42 : 729.15 = 353.82 : x
  2. Step 2: Convert to fraction form
    528.42/729.15 = 353.82/x
  3. Step 3: Cross multiply
    528.42x = 729.15 × 353.82
  4. Step 4: Simplify right side
    528.42x = 257,987.85
  5. Step 5: Solve for x
    x = 257,987.85/528.42
  6. Step 6: Final answer
    x = 488.22

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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.