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Finding the Fourth Proportional to 835.96, 1,254 and 288.10

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Solution

The fourth proportional to 835.96, 1,254 and 288.10 is: 432.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    835.96 : 1,254 = 288.10 : x
  2. Step 2: Convert to fraction form
    835.96/1,254 = 288.10/x
  3. Step 3: Cross multiply
    835.96x = 1,254 × 288.10
  4. Step 4: Simplify right side
    835.96x = 361,277.40
  5. Step 5: Solve for x
    x = 361,277.40/835.96
  6. Step 6: Final answer
    x = 432.17

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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.