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Finding the Fourth Proportional to 621.96, 934.38 and 365.64

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Solution

The fourth proportional to 621.96, 934.38 and 365.64 is: 549.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    621.96 : 934.38 = 365.64 : x
  2. Step 2: Convert to fraction form
    621.96/934.38 = 365.64/x
  3. Step 3: Cross multiply
    621.96x = 934.38 × 365.64
  4. Step 4: Simplify right side
    621.96x = 341,646.70
  5. Step 5: Solve for x
    x = 341,646.70/621.96
  6. Step 6: Final answer
    x = 549.31

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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.