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Finding the Fourth Proportional to 606.77, 910.47 and 282.14

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Solution

The fourth proportional to 606.77, 910.47 and 282.14 is: 423.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    606.77 : 910.47 = 282.14 : x
  2. Step 2: Convert to fraction form
    606.77/910.47 = 282.14/x
  3. Step 3: Cross multiply
    606.77x = 910.47 × 282.14
  4. Step 4: Simplify right side
    606.77x = 256,880.01
  5. Step 5: Solve for x
    x = 256,880.01/606.77
  6. Step 6: Final answer
    x = 423.36

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.