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Finding the Fourth Proportional to 489.60, 734.45 and 307.18

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Solution

The fourth proportional to 489.60, 734.45 and 307.18 is: 460.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    489.60 : 734.45 = 307.18 : x
  2. Step 2: Convert to fraction form
    489.60/734.45 = 307.18/x
  3. Step 3: Cross multiply
    489.60x = 734.45 × 307.18
  4. Step 4: Simplify right side
    489.60x = 225,608.35
  5. Step 5: Solve for x
    x = 225,608.35/489.60
  6. Step 6: Final answer
    x = 460.80

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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.