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Finding the Fourth Proportional to 477.09, 713.66 and 447.93

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Solution

The fourth proportional to 477.09, 713.66 and 447.93 is: 670.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    477.09 : 713.66 = 447.93 : x
  2. Step 2: Convert to fraction form
    477.09/713.66 = 447.93/x
  3. Step 3: Cross multiply
    477.09x = 713.66 × 447.93
  4. Step 4: Simplify right side
    477.09x = 319,667.48
  5. Step 5: Solve for x
    x = 319,667.48/477.09
  6. Step 6: Final answer
    x = 670.04

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.