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Finding the Fourth Proportional to 500.43, 690.72 and 304.07

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Solution

The fourth proportional to 500.43, 690.72 and 304.07 is: 419.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    500.43 : 690.72 = 304.07 : x
  2. Step 2: Convert to fraction form
    500.43/690.72 = 304.07/x
  3. Step 3: Cross multiply
    500.43x = 690.72 × 304.07
  4. Step 4: Simplify right side
    500.43x = 210,027.82
  5. Step 5: Solve for x
    x = 210,027.82/500.43
  6. Step 6: Final answer
    x = 419.69

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