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Finding the Fourth Proportional to 407.63, 562.34 and 232.88

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Solution

The fourth proportional to 407.63, 562.34 and 232.88 is: 321.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    407.63 : 562.34 = 232.88 : x
  2. Step 2: Convert to fraction form
    407.63/562.34 = 232.88/x
  3. Step 3: Cross multiply
    407.63x = 562.34 × 232.88
  4. Step 4: Simplify right side
    407.63x = 130,955.51
  5. Step 5: Solve for x
    x = 130,955.51/407.63
  6. Step 6: Final answer
    x = 321.26

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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.