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Finding the Fourth Proportional to 477.50, 659.18 and 300.71

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Solution

The fourth proportional to 477.50, 659.18 and 300.71 is: 415.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    477.50 : 659.18 = 300.71 : x
  2. Step 2: Convert to fraction form
    477.50/659.18 = 300.71/x
  3. Step 3: Cross multiply
    477.50x = 659.18 × 300.71
  4. Step 4: Simplify right side
    477.50x = 198,222.30
  5. Step 5: Solve for x
    x = 198,222.30/477.50
  6. Step 6: Final answer
    x = 415.13

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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.