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Finding the Fourth Proportional to 802.24, 1,202.96 and 301.74

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Solution

The fourth proportional to 802.24, 1,202.96 and 301.74 is: 452.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    802.24 : 1,202.96 = 301.74 : x
  2. Step 2: Convert to fraction form
    802.24/1,202.96 = 301.74/x
  3. Step 3: Cross multiply
    802.24x = 1,202.96 × 301.74
  4. Step 4: Simplify right side
    802.24x = 362,981.15
  5. Step 5: Solve for x
    x = 362,981.15/802.24
  6. Step 6: Final answer
    x = 452.46

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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.