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Finding the Fourth Proportional to 391.02, 585.99 and 364.02

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Solution

The fourth proportional to 391.02, 585.99 and 364.02 is: 545.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    391.02 : 585.99 = 364.02 : x
  2. Step 2: Convert to fraction form
    391.02/585.99 = 364.02/x
  3. Step 3: Cross multiply
    391.02x = 585.99 × 364.02
  4. Step 4: Simplify right side
    391.02x = 213,312.08
  5. Step 5: Solve for x
    x = 213,312.08/391.02
  6. Step 6: Final answer
    x = 545.53

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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.