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Finding the Fourth Proportional to 477.45, 715.71 and 152.73

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Solution

The fourth proportional to 477.45, 715.71 and 152.73 is: 228.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    477.45 : 715.71 = 152.73 : x
  2. Step 2: Convert to fraction form
    477.45/715.71 = 152.73/x
  3. Step 3: Cross multiply
    477.45x = 715.71 × 152.73
  4. Step 4: Simplify right side
    477.45x = 109,310.39
  5. Step 5: Solve for x
    x = 109,310.39/477.45
  6. Step 6: Final answer
    x = 228.95

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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.