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Finding the Fourth Proportional to 860.07, 1,290.21 and 282.93

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Solution

The fourth proportional to 860.07, 1,290.21 and 282.93 is: 424.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    860.07 : 1,290.21 = 282.93 : x
  2. Step 2: Convert to fraction form
    860.07/1,290.21 = 282.93/x
  3. Step 3: Cross multiply
    860.07x = 1,290.21 × 282.93
  4. Step 4: Simplify right side
    860.07x = 365,039.12
  5. Step 5: Solve for x
    x = 365,039.12/860.07
  6. Step 6: Final answer
    x = 424.43

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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.