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Finding the Fourth Proportional to 802.16, 1,202.71 and 315.26

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Solution

The fourth proportional to 802.16, 1,202.71 and 315.26 is: 472.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    802.16 : 1,202.71 = 315.26 : x
  2. Step 2: Convert to fraction form
    802.16/1,202.71 = 315.26/x
  3. Step 3: Cross multiply
    802.16x = 1,202.71 × 315.26
  4. Step 4: Simplify right side
    802.16x = 379,166.35
  5. Step 5: Solve for x
    x = 379,166.35/802.16
  6. Step 6: Final answer
    x = 472.68

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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.