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Finding the Fourth Proportional to 477, 715.55 and 422.66

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Solution

The fourth proportional to 477, 715.55 and 422.66 is: 634.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    477 : 715.55 = 422.66 : x
  2. Step 2: Convert to fraction form
    477/715.55 = 422.66/x
  3. Step 3: Cross multiply
    477x = 715.55 × 422.66
  4. Step 4: Simplify right side
    477x = 302,434.04
  5. Step 5: Solve for x
    x = 302,434.04/477
  6. Step 6: Final answer
    x = 634.03

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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.