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Finding the Fourth Proportional to 385.61, 532.58 and 352.33

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Solution

The fourth proportional to 385.61, 532.58 and 352.33 is: 486.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    385.61 : 532.58 = 352.33 : x
  2. Step 2: Convert to fraction form
    385.61/532.58 = 352.33/x
  3. Step 3: Cross multiply
    385.61x = 532.58 × 352.33
  4. Step 4: Simplify right side
    385.61x = 187,640.82
  5. Step 5: Solve for x
    x = 187,640.82/385.61
  6. Step 6: Final answer
    x = 486.61

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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.