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Finding the Fourth Proportional to 859.16, 1,288.95 and 282.02

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Solution

The fourth proportional to 859.16, 1,288.95 and 282.02 is: 423.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    859.16 : 1,288.95 = 282.02 : x
  2. Step 2: Convert to fraction form
    859.16/1,288.95 = 282.02/x
  3. Step 3: Cross multiply
    859.16x = 1,288.95 × 282.02
  4. Step 4: Simplify right side
    859.16x = 363,509.68
  5. Step 5: Solve for x
    x = 363,509.68/859.16
  6. Step 6: Final answer
    x = 423.10

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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.