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Finding the Fourth Proportional to 491.09, 677.49 and 314.01

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Solution

The fourth proportional to 491.09, 677.49 and 314.01 is: 433.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    491.09 : 677.49 = 314.01 : x
  2. Step 2: Convert to fraction form
    491.09/677.49 = 314.01/x
  3. Step 3: Cross multiply
    491.09x = 677.49 × 314.01
  4. Step 4: Simplify right side
    491.09x = 212,736.16
  5. Step 5: Solve for x
    x = 212,736.16/491.09
  6. Step 6: Final answer
    x = 433.20

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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.