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Finding the Fourth Proportional to 482.02, 719.37 and 469.73

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Solution

The fourth proportional to 482.02, 719.37 and 469.73 is: 701.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    482.02 : 719.37 = 469.73 : x
  2. Step 2: Convert to fraction form
    482.02/719.37 = 469.73/x
  3. Step 3: Cross multiply
    482.02x = 719.37 × 469.73
  4. Step 4: Simplify right side
    482.02x = 337,911.47
  5. Step 5: Solve for x
    x = 337,911.47/482.02
  6. Step 6: Final answer
    x = 701.04

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.