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Finding the Fourth Proportional to 802.40, 1,201.42 and 416.84

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Solution

The fourth proportional to 802.40, 1,201.42 and 416.84 is: 624.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    802.40 : 1,201.42 = 416.84 : x
  2. Step 2: Convert to fraction form
    802.40/1,201.42 = 416.84/x
  3. Step 3: Cross multiply
    802.40x = 1,201.42 × 416.84
  4. Step 4: Simplify right side
    802.40x = 500,793.91
  5. Step 5: Solve for x
    x = 500,793.91/802.40
  6. Step 6: Final answer
    x = 624.12

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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.