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Finding the Fourth Proportional to 802.07, 1,203.41 and 315.46

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Solution

The fourth proportional to 802.07, 1,203.41 and 315.46 is: 473.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    802.07 : 1,203.41 = 315.46 : x
  2. Step 2: Convert to fraction form
    802.07/1,203.41 = 315.46/x
  3. Step 3: Cross multiply
    802.07x = 1,203.41 × 315.46
  4. Step 4: Simplify right side
    802.07x = 379,627.72
  5. Step 5: Solve for x
    x = 379,627.72/802.07
  6. Step 6: Final answer
    x = 473.31

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.