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Finding the Fourth Proportional to 468.86, 647.05 and 259.06

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Solution

The fourth proportional to 468.86, 647.05 and 259.06 is: 357.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    468.86 : 647.05 = 259.06 : x
  2. Step 2: Convert to fraction form
    468.86/647.05 = 259.06/x
  3. Step 3: Cross multiply
    468.86x = 647.05 × 259.06
  4. Step 4: Simplify right side
    468.86x = 167,623.48
  5. Step 5: Solve for x
    x = 167,623.48/468.86
  6. Step 6: Final answer
    x = 357.51

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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.