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Finding the Fourth Proportional to 565.48, 847.05 and 301.65

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Solution

The fourth proportional to 565.48, 847.05 and 301.65 is: 451.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    565.48 : 847.05 = 301.65 : x
  2. Step 2: Convert to fraction form
    565.48/847.05 = 301.65/x
  3. Step 3: Cross multiply
    565.48x = 847.05 × 301.65
  4. Step 4: Simplify right side
    565.48x = 255,512.63
  5. Step 5: Solve for x
    x = 255,512.63/565.48
  6. Step 6: Final answer
    x = 451.85

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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.