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Finding the Fourth Proportional to 500.68, 690.53 and 323.53

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Solution

The fourth proportional to 500.68, 690.53 and 323.53 is: 446.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    500.68 : 690.53 = 323.53 : x
  2. Step 2: Convert to fraction form
    500.68/690.53 = 323.53/x
  3. Step 3: Cross multiply
    500.68x = 690.53 × 323.53
  4. Step 4: Simplify right side
    500.68x = 223,403.83
  5. Step 5: Solve for x
    x = 223,403.83/500.68
  6. Step 6: Final answer
    x = 446.20

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.