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Finding the Fourth Proportional to 529.29, 730.62 and 349.80

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Solution

The fourth proportional to 529.29, 730.62 and 349.80 is: 482.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    529.29 : 730.62 = 349.80 : x
  2. Step 2: Convert to fraction form
    529.29/730.62 = 349.80/x
  3. Step 3: Cross multiply
    529.29x = 730.62 × 349.80
  4. Step 4: Simplify right side
    529.29x = 255,570.88
  5. Step 5: Solve for x
    x = 255,570.88/529.29
  6. Step 6: Final answer
    x = 482.86

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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.