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Finding the Fourth Proportional to 401.51, 554.14 and 235.78

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Solution

The fourth proportional to 401.51, 554.14 and 235.78 is: 325.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    401.51 : 554.14 = 235.78 : x
  2. Step 2: Convert to fraction form
    401.51/554.14 = 235.78/x
  3. Step 3: Cross multiply
    401.51x = 554.14 × 235.78
  4. Step 4: Simplify right side
    401.51x = 130,655.13
  5. Step 5: Solve for x
    x = 130,655.13/401.51
  6. Step 6: Final answer
    x = 325.41

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.