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Finding the Fourth Proportional to 356.08, 491.52 and 263.20

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Solution

The fourth proportional to 356.08, 491.52 and 263.20 is: 363.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    356.08 : 491.52 = 263.20 : x
  2. Step 2: Convert to fraction form
    356.08/491.52 = 263.20/x
  3. Step 3: Cross multiply
    356.08x = 491.52 × 263.20
  4. Step 4: Simplify right side
    356.08x = 129,368.06
  5. Step 5: Solve for x
    x = 129,368.06/356.08
  6. Step 6: Final answer
    x = 363.31

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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.