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Finding the Fourth Proportional to 481.76, 719.72 and 307.04

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Solution

The fourth proportional to 481.76, 719.72 and 307.04 is: 458.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    481.76 : 719.72 = 307.04 : x
  2. Step 2: Convert to fraction form
    481.76/719.72 = 307.04/x
  3. Step 3: Cross multiply
    481.76x = 719.72 × 307.04
  4. Step 4: Simplify right side
    481.76x = 220,982.89
  5. Step 5: Solve for x
    x = 220,982.89/481.76
  6. Step 6: Final answer
    x = 458.69

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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.