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Finding the Fourth Proportional to 938.01, 1,406.64 and 288.57

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Solution

The fourth proportional to 938.01, 1,406.64 and 288.57 is: 432.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    938.01 : 1,406.64 = 288.57 : x
  2. Step 2: Convert to fraction form
    938.01/1,406.64 = 288.57/x
  3. Step 3: Cross multiply
    938.01x = 1,406.64 × 288.57
  4. Step 4: Simplify right side
    938.01x = 405,914.10
  5. Step 5: Solve for x
    x = 405,914.10/938.01
  6. Step 6: Final answer
    x = 432.74

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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.