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Finding the Fourth Proportional to 468.98, 647.18 and 259.17

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Solution

The fourth proportional to 468.98, 647.18 and 259.17 is: 357.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    468.98 : 647.18 = 259.17 : x
  2. Step 2: Convert to fraction form
    468.98/647.18 = 259.17/x
  3. Step 3: Cross multiply
    468.98x = 647.18 × 259.17
  4. Step 4: Simplify right side
    468.98x = 167,728.34
  5. Step 5: Solve for x
    x = 167,728.34/468.98
  6. Step 6: Final answer
    x = 357.64

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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.