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Finding the Fourth Proportional to 488.04, 731.34 and 380.04

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Solution

The fourth proportional to 488.04, 731.34 and 380.04 is: 569.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    488.04 : 731.34 = 380.04 : x
  2. Step 2: Convert to fraction form
    488.04/731.34 = 380.04/x
  3. Step 3: Cross multiply
    488.04x = 731.34 × 380.04
  4. Step 4: Simplify right side
    488.04x = 277,938.45
  5. Step 5: Solve for x
    x = 277,938.45/488.04
  6. Step 6: Final answer
    x = 569.50

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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.