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Finding the Fourth Proportional to 500.20, 690.53 and 313.80

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Solution

The fourth proportional to 500.20, 690.53 and 313.80 is: 433.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    500.20 : 690.53 = 313.80 : x
  2. Step 2: Convert to fraction form
    500.20/690.53 = 313.80/x
  3. Step 3: Cross multiply
    500.20x = 690.53 × 313.80
  4. Step 4: Simplify right side
    500.20x = 216,688.31
  5. Step 5: Solve for x
    x = 216,688.31/500.20
  6. Step 6: Final answer
    x = 433.20

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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.