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Finding the Fourth Proportional to 488.37, 734.06 and 283.35

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Solution

The fourth proportional to 488.37, 734.06 and 283.35 is: 425.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    488.37 : 734.06 = 283.35 : x
  2. Step 2: Convert to fraction form
    488.37/734.06 = 283.35/x
  3. Step 3: Cross multiply
    488.37x = 734.06 × 283.35
  4. Step 4: Simplify right side
    488.37x = 207,995.90
  5. Step 5: Solve for x
    x = 207,995.90/488.37
  6. Step 6: Final answer
    x = 425.90

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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.