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Finding the Fourth Proportional to 353.79, 529.74 and 207.42

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Solution

The fourth proportional to 353.79, 529.74 and 207.42 is: 310.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    353.79 : 529.74 = 207.42 : x
  2. Step 2: Convert to fraction form
    353.79/529.74 = 207.42/x
  3. Step 3: Cross multiply
    353.79x = 529.74 × 207.42
  4. Step 4: Simplify right side
    353.79x = 109,878.67
  5. Step 5: Solve for x
    x = 109,878.67/353.79
  6. Step 6: Final answer
    x = 310.58

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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.