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Finding the Fourth Proportional to 860.01, 1,289.37 and 304.59

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Solution

The fourth proportional to 860.01, 1,289.37 and 304.59 is: 456.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    860.01 : 1,289.37 = 304.59 : x
  2. Step 2: Convert to fraction form
    860.01/1,289.37 = 304.59/x
  3. Step 3: Cross multiply
    860.01x = 1,289.37 × 304.59
  4. Step 4: Simplify right side
    860.01x = 392,729.21
  5. Step 5: Solve for x
    x = 392,729.21/860.01
  6. Step 6: Final answer
    x = 456.66

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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.