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Finding the Fourth Proportional to 491.01, 677.79 and 314.07

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Solution

The fourth proportional to 491.01, 677.79 and 314.07 is: 433.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    491.01 : 677.79 = 314.07 : x
  2. Step 2: Convert to fraction form
    491.01/677.79 = 314.07/x
  3. Step 3: Cross multiply
    491.01x = 677.79 × 314.07
  4. Step 4: Simplify right side
    491.01x = 212,873.51
  5. Step 5: Solve for x
    x = 212,873.51/491.01
  6. Step 6: Final answer
    x = 433.54

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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.