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Finding the Fourth Proportional to 469.31, 647.64 and 259.49

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Solution

The fourth proportional to 469.31, 647.64 and 259.49 is: 358.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    469.31 : 647.64 = 259.49 : x
  2. Step 2: Convert to fraction form
    469.31/647.64 = 259.49/x
  3. Step 3: Cross multiply
    469.31x = 647.64 × 259.49
  4. Step 4: Simplify right side
    469.31x = 168,056.51
  5. Step 5: Solve for x
    x = 168,056.51/469.31
  6. Step 6: Final answer
    x = 358.09

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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.