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Finding the Fourth Proportional to 489.57, 734.64 and 284.03

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Solution

The fourth proportional to 489.57, 734.64 and 284.03 is: 426.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    489.57 : 734.64 = 284.03 : x
  2. Step 2: Convert to fraction form
    489.57/734.64 = 284.03/x
  3. Step 3: Cross multiply
    489.57x = 734.64 × 284.03
  4. Step 4: Simplify right side
    489.57x = 208,655.83
  5. Step 5: Solve for x
    x = 208,655.83/489.57
  6. Step 6: Final answer
    x = 426.20

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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.