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Finding the Fourth Proportional to 317.09, 437.77 and 210.83

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Solution

The fourth proportional to 317.09, 437.77 and 210.83 is: 291.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    317.09 : 437.77 = 210.83 : x
  2. Step 2: Convert to fraction form
    317.09/437.77 = 210.83/x
  3. Step 3: Cross multiply
    317.09x = 437.77 × 210.83
  4. Step 4: Simplify right side
    317.09x = 92,296.14
  5. Step 5: Solve for x
    x = 92,296.14/317.09
  6. Step 6: Final answer
    x = 291.07

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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.