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Finding the Fourth Proportional to 390.92, 586.54 and 182.76

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Solution

The fourth proportional to 390.92, 586.54 and 182.76 is: 274.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    390.92 : 586.54 = 182.76 : x
  2. Step 2: Convert to fraction form
    390.92/586.54 = 182.76/x
  3. Step 3: Cross multiply
    390.92x = 586.54 × 182.76
  4. Step 4: Simplify right side
    390.92x = 107,196.05
  5. Step 5: Solve for x
    x = 107,196.05/390.92
  6. Step 6: Final answer
    x = 274.21

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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.