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Finding the Fourth Proportional to 472.84, 708.47 and 369.70

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Solution

The fourth proportional to 472.84, 708.47 and 369.70 is: 553.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    472.84 : 708.47 = 369.70 : x
  2. Step 2: Convert to fraction form
    472.84/708.47 = 369.70/x
  3. Step 3: Cross multiply
    472.84x = 708.47 × 369.70
  4. Step 4: Simplify right side
    472.84x = 261,915.97
  5. Step 5: Solve for x
    x = 261,915.97/472.84
  6. Step 6: Final answer
    x = 553.93

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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.