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Finding the Fourth Proportional to 360.39, 497.31 and 210.99

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Solution

The fourth proportional to 360.39, 497.31 and 210.99 is: 291.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    360.39 : 497.31 = 210.99 : x
  2. Step 2: Convert to fraction form
    360.39/497.31 = 210.99/x
  3. Step 3: Cross multiply
    360.39x = 497.31 × 210.99
  4. Step 4: Simplify right side
    360.39x = 104,927.44
  5. Step 5: Solve for x
    x = 104,927.44/360.39
  6. Step 6: Final answer
    x = 291.15

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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.