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Finding the Fourth Proportional to 352.74, 529.42 and 288.48

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Solution

The fourth proportional to 352.74, 529.42 and 288.48 is: 432.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    352.74 : 529.42 = 288.48 : x
  2. Step 2: Convert to fraction form
    352.74/529.42 = 288.48/x
  3. Step 3: Cross multiply
    352.74x = 529.42 × 288.48
  4. Step 4: Simplify right side
    352.74x = 152,727.08
  5. Step 5: Solve for x
    x = 152,727.08/352.74
  6. Step 6: Final answer
    x = 432.97

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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.