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Finding the Fourth Proportional to 802.07, 1,202.29 and 314.45

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Solution

The fourth proportional to 802.07, 1,202.29 and 314.45 is: 471.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    802.07 : 1,202.29 = 314.45 : x
  2. Step 2: Convert to fraction form
    802.07/1,202.29 = 314.45/x
  3. Step 3: Cross multiply
    802.07x = 1,202.29 × 314.45
  4. Step 4: Simplify right side
    802.07x = 378,060.09
  5. Step 5: Solve for x
    x = 378,060.09/802.07
  6. Step 6: Final answer
    x = 471.36

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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.