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Finding the Fourth Proportional to 482.06, 719.14 and 468.84

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Solution

The fourth proportional to 482.06, 719.14 and 468.84 is: 699.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    482.06 : 719.14 = 468.84 : x
  2. Step 2: Convert to fraction form
    482.06/719.14 = 468.84/x
  3. Step 3: Cross multiply
    482.06x = 719.14 × 468.84
  4. Step 4: Simplify right side
    482.06x = 337,161.60
  5. Step 5: Solve for x
    x = 337,161.60/482.06
  6. Step 6: Final answer
    x = 699.42

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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.