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Finding the Fourth Proportional to 355.78, 532.86 and 291.52

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Solution

The fourth proportional to 355.78, 532.86 and 291.52 is: 436.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    355.78 : 532.86 = 291.52 : x
  2. Step 2: Convert to fraction form
    355.78/532.86 = 291.52/x
  3. Step 3: Cross multiply
    355.78x = 532.86 × 291.52
  4. Step 4: Simplify right side
    355.78x = 155,339.35
  5. Step 5: Solve for x
    x = 155,339.35/355.78
  6. Step 6: Final answer
    x = 436.62

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.