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Finding the Fourth Proportional to 395.34, 545.62 and 264.35

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Solution

The fourth proportional to 395.34, 545.62 and 264.35 is: 364.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    395.34 : 545.62 = 264.35 : x
  2. Step 2: Convert to fraction form
    395.34/545.62 = 264.35/x
  3. Step 3: Cross multiply
    395.34x = 545.62 × 264.35
  4. Step 4: Simplify right side
    395.34x = 144,234.65
  5. Step 5: Solve for x
    x = 144,234.65/395.34
  6. Step 6: Final answer
    x = 364.84

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.