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Finding the Fourth Proportional to 423.99, 636.53 and 286.47

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Solution

The fourth proportional to 423.99, 636.53 and 286.47 is: 430.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    423.99 : 636.53 = 286.47 : x
  2. Step 2: Convert to fraction form
    423.99/636.53 = 286.47/x
  3. Step 3: Cross multiply
    423.99x = 636.53 × 286.47
  4. Step 4: Simplify right side
    423.99x = 182,345.32
  5. Step 5: Solve for x
    x = 182,345.32/423.99
  6. Step 6: Final answer
    x = 430.07

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.