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Finding the Fourth Proportional to 390.24, 584.10 and 281.52

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Solution

The fourth proportional to 390.24, 584.10 and 281.52 is: 421.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    390.24 : 584.10 = 281.52 : x
  2. Step 2: Convert to fraction form
    390.24/584.10 = 281.52/x
  3. Step 3: Cross multiply
    390.24x = 584.10 × 281.52
  4. Step 4: Simplify right side
    390.24x = 164,435.83
  5. Step 5: Solve for x
    x = 164,435.83/390.24
  6. Step 6: Final answer
    x = 421.37

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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.