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Finding the Fourth Proportional to 287.04, 430.23 and 263.97

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Solution

The fourth proportional to 287.04, 430.23 and 263.97 is: 395.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    287.04 : 430.23 = 263.97 : x
  2. Step 2: Convert to fraction form
    287.04/430.23 = 263.97/x
  3. Step 3: Cross multiply
    287.04x = 430.23 × 263.97
  4. Step 4: Simplify right side
    287.04x = 113,567.81
  5. Step 5: Solve for x
    x = 113,567.81/287.04
  6. Step 6: Final answer
    x = 395.65

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Why These Related Problems?

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