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Finding the Fourth Proportional to 358.07, 537.04 and 209.74

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Solution

The fourth proportional to 358.07, 537.04 and 209.74 is: 314.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    358.07 : 537.04 = 209.74 : x
  2. Step 2: Convert to fraction form
    358.07/537.04 = 209.74/x
  3. Step 3: Cross multiply
    358.07x = 537.04 × 209.74
  4. Step 4: Simplify right side
    358.07x = 112,638.36
  5. Step 5: Solve for x
    x = 112,638.36/358.07
  6. Step 6: Final answer
    x = 314.57

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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.