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Finding the Fourth Proportional to 469.57, 648.03 and 259.73

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Solution

The fourth proportional to 469.57, 648.03 and 259.73 is: 358.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    469.57 : 648.03 = 259.73 : x
  2. Step 2: Convert to fraction form
    469.57/648.03 = 259.73/x
  3. Step 3: Cross multiply
    469.57x = 648.03 × 259.73
  4. Step 4: Simplify right side
    469.57x = 168,312.63
  5. Step 5: Solve for x
    x = 168,312.63/469.57
  6. Step 6: Final answer
    x = 358.44

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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.