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Finding the Fourth Proportional to 317.03, 437.10 and 206.46

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Solution

The fourth proportional to 317.03, 437.10 and 206.46 is: 284.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    317.03 : 437.10 = 206.46 : x
  2. Step 2: Convert to fraction form
    317.03/437.10 = 206.46/x
  3. Step 3: Cross multiply
    317.03x = 437.10 × 206.46
  4. Step 4: Simplify right side
    317.03x = 90,243.67
  5. Step 5: Solve for x
    x = 90,243.67/317.03
  6. Step 6: Final answer
    x = 284.65

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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.