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Finding the Fourth Proportional to 607.83, 911.10 and 282.93

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Solution

The fourth proportional to 607.83, 911.10 and 282.93 is: 424.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    607.83 : 911.10 = 282.93 : x
  2. Step 2: Convert to fraction form
    607.83/911.10 = 282.93/x
  3. Step 3: Cross multiply
    607.83x = 911.10 × 282.93
  4. Step 4: Simplify right side
    607.83x = 257,777.52
  5. Step 5: Solve for x
    x = 257,777.52/607.83
  6. Step 6: Final answer
    x = 424.09

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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.