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Finding the Fourth Proportional to 469.82, 648.36 and 260.00

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Solution

The fourth proportional to 469.82, 648.36 and 260.00 is: 358.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    469.82 : 648.36 = 260.00 : x
  2. Step 2: Convert to fraction form
    469.82/648.36 = 260.00/x
  3. Step 3: Cross multiply
    469.82x = 648.36 × 260.00
  4. Step 4: Simplify right side
    469.82x = 168,575.22
  5. Step 5: Solve for x
    x = 168,575.22/469.82
  6. Step 6: Final answer
    x = 358.81

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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.