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Finding the Fourth Proportional to 858.23, 1,287.45 and 310.67

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Solution

The fourth proportional to 858.23, 1,287.45 and 310.67 is: 466.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    858.23 : 1,287.45 = 310.67 : x
  2. Step 2: Convert to fraction form
    858.23/1,287.45 = 310.67/x
  3. Step 3: Cross multiply
    858.23x = 1,287.45 × 310.67
  4. Step 4: Simplify right side
    858.23x = 399,970.54
  5. Step 5: Solve for x
    x = 399,970.54/858.23
  6. Step 6: Final answer
    x = 466.04

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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.