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Finding the Fourth Proportional to 949.35, 1,423.06 and 364.20

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Solution

The fourth proportional to 949.35, 1,423.06 and 364.20 is: 545.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    949.35 : 1,423.06 = 364.20 : x
  2. Step 2: Convert to fraction form
    949.35/1,423.06 = 364.20/x
  3. Step 3: Cross multiply
    949.35x = 1,423.06 × 364.20
  4. Step 4: Simplify right side
    949.35x = 518,272.21
  5. Step 5: Solve for x
    x = 518,272.21/949.35
  6. Step 6: Final answer
    x = 545.92

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.