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Finding the Fourth Proportional to 500.49, 690.73 and 314.12

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Solution

The fourth proportional to 500.49, 690.73 and 314.12 is: 433.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    500.49 : 690.73 = 314.12 : x
  2. Step 2: Convert to fraction form
    500.49/690.73 = 314.12/x
  3. Step 3: Cross multiply
    500.49x = 690.73 × 314.12
  4. Step 4: Simplify right side
    500.49x = 216,973.05
  5. Step 5: Solve for x
    x = 216,973.05/500.49
  6. Step 6: Final answer
    x = 433.52

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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.