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Finding the Fourth Proportional to 390.79, 586.26 and 130.81

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Solution

The fourth proportional to 390.79, 586.26 and 130.81 is: 196.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    390.79 : 586.26 = 130.81 : x
  2. Step 2: Convert to fraction form
    390.79/586.26 = 130.81/x
  3. Step 3: Cross multiply
    390.79x = 586.26 × 130.81
  4. Step 4: Simplify right side
    390.79x = 76,688.67
  5. Step 5: Solve for x
    x = 76,688.67/390.79
  6. Step 6: Final answer
    x = 196.24

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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.