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Finding the Fourth Proportional to 469.89, 648.40 and 260.07

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Solution

The fourth proportional to 469.89, 648.40 and 260.07 is: 358.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    469.89 : 648.40 = 260.07 : x
  2. Step 2: Convert to fraction form
    469.89/648.40 = 260.07/x
  3. Step 3: Cross multiply
    469.89x = 648.40 × 260.07
  4. Step 4: Simplify right side
    469.89x = 168,629.39
  5. Step 5: Solve for x
    x = 168,629.39/469.89
  6. Step 6: Final answer
    x = 358.87

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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.