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Finding the Fourth Proportional to 401.54, 602.86 and 293.28

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Solution

The fourth proportional to 401.54, 602.86 and 293.28 is: 440.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    401.54 : 602.86 = 293.28 : x
  2. Step 2: Convert to fraction form
    401.54/602.86 = 293.28/x
  3. Step 3: Cross multiply
    401.54x = 602.86 × 293.28
  4. Step 4: Simplify right side
    401.54x = 176,806.78
  5. Step 5: Solve for x
    x = 176,806.78/401.54
  6. Step 6: Final answer
    x = 440.32

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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.