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Finding the Fourth Proportional to 621.99, 933.27 and 313.68

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Solution

The fourth proportional to 621.99, 933.27 and 313.68 is: 470.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    621.99 : 933.27 = 313.68 : x
  2. Step 2: Convert to fraction form
    621.99/933.27 = 313.68/x
  3. Step 3: Cross multiply
    621.99x = 933.27 × 313.68
  4. Step 4: Simplify right side
    621.99x = 292,741.90
  5. Step 5: Solve for x
    x = 292,741.90/621.99
  6. Step 6: Final answer
    x = 470.65

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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.