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Finding the Fourth Proportional to 500.36, 691.04 and 446.08

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Solution

The fourth proportional to 500.36, 691.04 and 446.08 is: 616.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    500.36 : 691.04 = 446.08 : x
  2. Step 2: Convert to fraction form
    500.36/691.04 = 446.08/x
  3. Step 3: Cross multiply
    500.36x = 691.04 × 446.08
  4. Step 4: Simplify right side
    500.36x = 308,259.12
  5. Step 5: Solve for x
    x = 308,259.12/500.36
  6. Step 6: Final answer
    x = 616.07

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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.