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Finding the Fourth Proportional to 489.68, 734.12 and 284.01

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Solution

The fourth proportional to 489.68, 734.12 and 284.01 is: 425.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    489.68 : 734.12 = 284.01 : x
  2. Step 2: Convert to fraction form
    489.68/734.12 = 284.01/x
  3. Step 3: Cross multiply
    489.68x = 734.12 × 284.01
  4. Step 4: Simplify right side
    489.68x = 208,497.42
  5. Step 5: Solve for x
    x = 208,497.42/489.68
  6. Step 6: Final answer
    x = 425.78

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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.