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Finding the Fourth Proportional to 353.71, 529.95 and 224.01

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Solution

The fourth proportional to 353.71, 529.95 and 224.01 is: 335.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    353.71 : 529.95 = 224.01 : x
  2. Step 2: Convert to fraction form
    353.71/529.95 = 224.01/x
  3. Step 3: Cross multiply
    353.71x = 529.95 × 224.01
  4. Step 4: Simplify right side
    353.71x = 118,714.10
  5. Step 5: Solve for x
    x = 118,714.10/353.71
  6. Step 6: Final answer
    x = 335.63

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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.