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Finding the Fourth Proportional to 477.09, 715.62 and 294.54

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Solution

The fourth proportional to 477.09, 715.62 and 294.54 is: 441.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    477.09 : 715.62 = 294.54 : x
  2. Step 2: Convert to fraction form
    477.09/715.62 = 294.54/x
  3. Step 3: Cross multiply
    477.09x = 715.62 × 294.54
  4. Step 4: Simplify right side
    477.09x = 210,778.71
  5. Step 5: Solve for x
    x = 210,778.71/477.09
  6. Step 6: Final answer
    x = 441.80

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