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Finding the Fourth Proportional to 477.81, 659.14 and 300.99

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Solution

The fourth proportional to 477.81, 659.14 and 300.99 is: 415.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    477.81 : 659.14 = 300.99 : x
  2. Step 2: Convert to fraction form
    477.81/659.14 = 300.99/x
  3. Step 3: Cross multiply
    477.81x = 659.14 × 300.99
  4. Step 4: Simplify right side
    477.81x = 198,394.55
  5. Step 5: Solve for x
    x = 198,394.55/477.81
  6. Step 6: Final answer
    x = 415.22

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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.