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Finding the Fourth Proportional to 802.90, 1,202.17 and 417.34

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Solution

The fourth proportional to 802.90, 1,202.17 and 417.34 is: 624.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    802.90 : 1,202.17 = 417.34 : x
  2. Step 2: Convert to fraction form
    802.90/1,202.17 = 417.34/x
  3. Step 3: Cross multiply
    802.90x = 1,202.17 × 417.34
  4. Step 4: Simplify right side
    802.90x = 501,707.62
  5. Step 5: Solve for x
    x = 501,707.62/802.90
  6. Step 6: Final answer
    x = 624.87

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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.