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Finding the Fourth Proportional to 352.60, 526.67 and 280.24

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Solution

The fourth proportional to 352.60, 526.67 and 280.24 is: 418.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    352.60 : 526.67 = 280.24 : x
  2. Step 2: Convert to fraction form
    352.60/526.67 = 280.24/x
  3. Step 3: Cross multiply
    352.60x = 526.67 × 280.24
  4. Step 4: Simplify right side
    352.60x = 147,594.00
  5. Step 5: Solve for x
    x = 147,594.00/352.60
  6. Step 6: Final answer
    x = 418.59

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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.