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Finding the Fourth Proportional to 355.46, 533.28 and 316.68

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Solution

The fourth proportional to 355.46, 533.28 and 316.68 is: 475.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    355.46 : 533.28 = 316.68 : x
  2. Step 2: Convert to fraction form
    355.46/533.28 = 316.68/x
  3. Step 3: Cross multiply
    355.46x = 533.28 × 316.68
  4. Step 4: Simplify right side
    355.46x = 168,879.01
  5. Step 5: Solve for x
    x = 168,879.01/355.46
  6. Step 6: Final answer
    x = 475.10

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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.