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Finding the Fourth Proportional to 489.94, 733.96 and 435.27

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Solution

The fourth proportional to 489.94, 733.96 and 435.27 is: 652.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    489.94 : 733.96 = 435.27 : x
  2. Step 2: Convert to fraction form
    489.94/733.96 = 435.27/x
  3. Step 3: Cross multiply
    489.94x = 733.96 × 435.27
  4. Step 4: Simplify right side
    489.94x = 319,470.77
  5. Step 5: Solve for x
    x = 319,470.77/489.94
  6. Step 6: Final answer
    x = 652.06

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.