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Finding the Fourth Proportional to 561.64, 842.70 and 301.57

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Solution

The fourth proportional to 561.64, 842.70 and 301.57 is: 452.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    561.64 : 842.70 = 301.57 : x
  2. Step 2: Convert to fraction form
    561.64/842.70 = 301.57/x
  3. Step 3: Cross multiply
    561.64x = 842.70 × 301.57
  4. Step 4: Simplify right side
    561.64x = 254,131.53
  5. Step 5: Solve for x
    x = 254,131.53/561.64
  6. Step 6: Final answer
    x = 452.48

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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.