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Finding the Fourth Proportional to 489.99, 731.47 and 472.89

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Solution

The fourth proportional to 489.99, 731.47 and 472.89 is: 705.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    489.99 : 731.47 = 472.89 : x
  2. Step 2: Convert to fraction form
    489.99/731.47 = 472.89/x
  3. Step 3: Cross multiply
    489.99x = 731.47 × 472.89
  4. Step 4: Simplify right side
    489.99x = 345,904.85
  5. Step 5: Solve for x
    x = 345,904.85/489.99
  6. Step 6: Final answer
    x = 705.94

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.