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Finding the Fourth Proportional to 477.33, 715.98 and 257.62

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Solution

The fourth proportional to 477.33, 715.98 and 257.62 is: 386.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    477.33 : 715.98 = 257.62 : x
  2. Step 2: Convert to fraction form
    477.33/715.98 = 257.62/x
  3. Step 3: Cross multiply
    477.33x = 715.98 × 257.62
  4. Step 4: Simplify right side
    477.33x = 184,450.56
  5. Step 5: Solve for x
    x = 184,450.56/477.33
  6. Step 6: Final answer
    x = 386.42

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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.