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Finding the Fourth Proportional to 867.04, 1,300.59 and 311.72

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Solution

The fourth proportional to 867.04, 1,300.59 and 311.72 is: 467.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    867.04 : 1,300.59 = 311.72 : x
  2. Step 2: Convert to fraction form
    867.04/1,300.59 = 311.72/x
  3. Step 3: Cross multiply
    867.04x = 1,300.59 × 311.72
  4. Step 4: Simplify right side
    867.04x = 405,413.41
  5. Step 5: Solve for x
    x = 405,413.41/867.04
  6. Step 6: Final answer
    x = 467.58

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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.