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Finding the Fourth Proportional to 482.82, 724.80 and 345.50

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Solution

The fourth proportional to 482.82, 724.80 and 345.50 is: 518.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    482.82 : 724.80 = 345.50 : x
  2. Step 2: Convert to fraction form
    482.82/724.80 = 345.50/x
  3. Step 3: Cross multiply
    482.82x = 724.80 × 345.50
  4. Step 4: Simplify right side
    482.82x = 250,418.40
  5. Step 5: Solve for x
    x = 250,418.40/482.82
  6. Step 6: Final answer
    x = 518.66

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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.