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Finding the Fourth Proportional to 489.50, 734.22 and 411.74

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Solution

The fourth proportional to 489.50, 734.22 and 411.74 is: 617.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    489.50 : 734.22 = 411.74 : x
  2. Step 2: Convert to fraction form
    489.50/734.22 = 411.74/x
  3. Step 3: Cross multiply
    489.50x = 734.22 × 411.74
  4. Step 4: Simplify right side
    489.50x = 302,307.74
  5. Step 5: Solve for x
    x = 302,307.74/489.50
  6. Step 6: Final answer
    x = 617.58

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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.