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Finding the Fourth Proportional to 566.24, 849.60 and 277.68

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Solution

The fourth proportional to 566.24, 849.60 and 277.68 is: 416.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    566.24 : 849.60 = 277.68 : x
  2. Step 2: Convert to fraction form
    566.24/849.60 = 277.68/x
  3. Step 3: Cross multiply
    566.24x = 849.60 × 277.68
  4. Step 4: Simplify right side
    566.24x = 235,916.93
  5. Step 5: Solve for x
    x = 235,916.93/566.24
  6. Step 6: Final answer
    x = 416.64

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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.