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Finding the Fourth Proportional to 355.60, 531.14 and 283.24

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Solution

The fourth proportional to 355.60, 531.14 and 283.24 is: 423.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    355.60 : 531.14 = 283.24 : x
  2. Step 2: Convert to fraction form
    355.60/531.14 = 283.24/x
  3. Step 3: Cross multiply
    355.60x = 531.14 × 283.24
  4. Step 4: Simplify right side
    355.60x = 150,440.09
  5. Step 5: Solve for x
    x = 150,440.09/355.60
  6. Step 6: Final answer
    x = 423.06

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.