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Finding the Fourth Proportional to 500.67, 690.92 and 304.04

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Solution

The fourth proportional to 500.67, 690.92 and 304.04 is: 419.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    500.67 : 690.92 = 304.04 : x
  2. Step 2: Convert to fraction form
    500.67/690.92 = 304.04/x
  3. Step 3: Cross multiply
    500.67x = 690.92 × 304.04
  4. Step 4: Simplify right side
    500.67x = 210,068.66
  5. Step 5: Solve for x
    x = 210,068.66/500.67
  6. Step 6: Final answer
    x = 419.58

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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.