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Finding the Fourth Proportional to 353.84, 530.04 and 209.48

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Solution

The fourth proportional to 353.84, 530.04 and 209.48 is: 313.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    353.84 : 530.04 = 209.48 : x
  2. Step 2: Convert to fraction form
    353.84/530.04 = 209.48/x
  3. Step 3: Cross multiply
    353.84x = 530.04 × 209.48
  4. Step 4: Simplify right side
    353.84x = 111,032.78
  5. Step 5: Solve for x
    x = 111,032.78/353.84
  6. Step 6: Final answer
    x = 313.79

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.