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Finding the Fourth Proportional to 390.67, 586.14 and 174.22

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Solution

The fourth proportional to 390.67, 586.14 and 174.22 is: 261.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    390.67 : 586.14 = 174.22 : x
  2. Step 2: Convert to fraction form
    390.67/586.14 = 174.22/x
  3. Step 3: Cross multiply
    390.67x = 586.14 × 174.22
  4. Step 4: Simplify right side
    390.67x = 102,117.31
  5. Step 5: Solve for x
    x = 102,117.31/390.67
  6. Step 6: Final answer
    x = 261.39

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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.