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Finding the Fourth Proportional to 561.58, 842.32 and 380.14

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Solution

The fourth proportional to 561.58, 842.32 and 380.14 is: 570.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    561.58 : 842.32 = 380.14 : x
  2. Step 2: Convert to fraction form
    561.58/842.32 = 380.14/x
  3. Step 3: Cross multiply
    561.58x = 842.32 × 380.14
  4. Step 4: Simplify right side
    561.58x = 320,199.52
  5. Step 5: Solve for x
    x = 320,199.52/561.58
  6. Step 6: Final answer
    x = 570.18

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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.