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Finding the Fourth Proportional to 468.98, 647.24 and 259.18

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Solution

The fourth proportional to 468.98, 647.24 and 259.18 is: 357.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    468.98 : 647.24 = 259.18 : x
  2. Step 2: Convert to fraction form
    468.98/647.24 = 259.18/x
  3. Step 3: Cross multiply
    468.98x = 647.24 × 259.18
  4. Step 4: Simplify right side
    468.98x = 167,748.75
  5. Step 5: Solve for x
    x = 167,748.75/468.98
  6. Step 6: Final answer
    x = 357.69

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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.