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Finding the Fourth Proportional to 356.57, 491.80 and 232.34

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Solution

The fourth proportional to 356.57, 491.80 and 232.34 is: 320.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    356.57 : 491.80 = 232.34 : x
  2. Step 2: Convert to fraction form
    356.57/491.80 = 232.34/x
  3. Step 3: Cross multiply
    356.57x = 491.80 × 232.34
  4. Step 4: Simplify right side
    356.57x = 114,264.81
  5. Step 5: Solve for x
    x = 114,264.81/356.57
  6. Step 6: Final answer
    x = 320.46

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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.