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Finding the Fourth Proportional to 802.24, 1,202.45 and 339.73

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Solution

The fourth proportional to 802.24, 1,202.45 and 339.73 is: 509.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    802.24 : 1,202.45 = 339.73 : x
  2. Step 2: Convert to fraction form
    802.24/1,202.45 = 339.73/x
  3. Step 3: Cross multiply
    802.24x = 1,202.45 × 339.73
  4. Step 4: Simplify right side
    802.24x = 408,510.50
  5. Step 5: Solve for x
    x = 408,510.50/802.24
  6. Step 6: Final answer
    x = 509.21

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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.