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Finding the Fourth Proportional to 287.83, 430.09 and 217.01

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Solution

The fourth proportional to 287.83, 430.09 and 217.01 is: 324.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    287.83 : 430.09 = 217.01 : x
  2. Step 2: Convert to fraction form
    287.83/430.09 = 217.01/x
  3. Step 3: Cross multiply
    287.83x = 430.09 × 217.01
  4. Step 4: Simplify right side
    287.83x = 93,333.83
  5. Step 5: Solve for x
    x = 93,333.83/287.83
  6. Step 6: Final answer
    x = 324.27

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.