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Finding the Fourth Proportional to 469.77, 648.23 and 259.94

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Solution

The fourth proportional to 469.77, 648.23 and 259.94 is: 358.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    469.77 : 648.23 = 259.94 : x
  2. Step 2: Convert to fraction form
    469.77/648.23 = 259.94/x
  3. Step 3: Cross multiply
    469.77x = 648.23 × 259.94
  4. Step 4: Simplify right side
    469.77x = 168,496.37
  5. Step 5: Solve for x
    x = 168,496.37/469.77
  6. Step 6: Final answer
    x = 358.68

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.