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Finding the Fourth Proportional to 561.90, 842.13 and 253.74

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Solution

The fourth proportional to 561.90, 842.13 and 253.74 is: 380.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    561.90 : 842.13 = 253.74 : x
  2. Step 2: Convert to fraction form
    561.90/842.13 = 253.74/x
  3. Step 3: Cross multiply
    561.90x = 842.13 × 253.74
  4. Step 4: Simplify right side
    561.90x = 213,682.07
  5. Step 5: Solve for x
    x = 213,682.07/561.90
  6. Step 6: Final answer
    x = 380.28

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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.