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Finding the Fourth Proportional to 472.53, 652.09 and 285.98

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Solution

The fourth proportional to 472.53, 652.09 and 285.98 is: 394.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    472.53 : 652.09 = 285.98 : x
  2. Step 2: Convert to fraction form
    472.53/652.09 = 285.98/x
  3. Step 3: Cross multiply
    472.53x = 652.09 × 285.98
  4. Step 4: Simplify right side
    472.53x = 186,484.70
  5. Step 5: Solve for x
    x = 186,484.70/472.53
  6. Step 6: Final answer
    x = 394.66

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.