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Finding the Fourth Proportional to 529.16, 730.38 and 352.42

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Solution

The fourth proportional to 529.16, 730.38 and 352.42 is: 486.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    529.16 : 730.38 = 352.42 : x
  2. Step 2: Convert to fraction form
    529.16/730.38 = 352.42/x
  3. Step 3: Cross multiply
    529.16x = 730.38 × 352.42
  4. Step 4: Simplify right side
    529.16x = 257,398.69
  5. Step 5: Solve for x
    x = 257,398.69/529.16
  6. Step 6: Final answer
    x = 486.43

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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.