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Finding the Fourth Proportional to 364.12, 545.73 and 209.74

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Solution

The fourth proportional to 364.12, 545.73 and 209.74 is: 314.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    364.12 : 545.73 = 209.74 : x
  2. Step 2: Convert to fraction form
    364.12/545.73 = 209.74/x
  3. Step 3: Cross multiply
    364.12x = 545.73 × 209.74
  4. Step 4: Simplify right side
    364.12x = 114,461.41
  5. Step 5: Solve for x
    x = 114,461.41/364.12
  6. Step 6: Final answer
    x = 314.35

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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.