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Finding the Fourth Proportional to 390.16, 584.16 and 293.50

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Solution

The fourth proportional to 390.16, 584.16 and 293.50 is: 439.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    390.16 : 584.16 = 293.50 : x
  2. Step 2: Convert to fraction form
    390.16/584.16 = 293.50/x
  3. Step 3: Cross multiply
    390.16x = 584.16 × 293.50
  4. Step 4: Simplify right side
    390.16x = 171,450.96
  5. Step 5: Solve for x
    x = 171,450.96/390.16
  6. Step 6: Final answer
    x = 439.44

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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.