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Finding the Fourth Proportional to 469.66, 648.13 and 259.84

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Solution

The fourth proportional to 469.66, 648.13 and 259.84 is: 358.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    469.66 : 648.13 = 259.84 : x
  2. Step 2: Convert to fraction form
    469.66/648.13 = 259.84/x
  3. Step 3: Cross multiply
    469.66x = 648.13 × 259.84
  4. Step 4: Simplify right side
    469.66x = 168,410.10
  5. Step 5: Solve for x
    x = 168,410.10/469.66
  6. Step 6: Final answer
    x = 358.58

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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.