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Finding the Fourth Proportional to 607.74, 911.82 and 283.14

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Solution

The fourth proportional to 607.74, 911.82 and 283.14 is: 424.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    607.74 : 911.82 = 283.14 : x
  2. Step 2: Convert to fraction form
    607.74/911.82 = 283.14/x
  3. Step 3: Cross multiply
    607.74x = 911.82 × 283.14
  4. Step 4: Simplify right side
    607.74x = 258,172.71
  5. Step 5: Solve for x
    x = 258,172.71/607.74
  6. Step 6: Final answer
    x = 424.81

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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.