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Finding the Fourth Proportional to 468.93, 647.14 and 259.11

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Solution

The fourth proportional to 468.93, 647.14 and 259.11 is: 357.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    468.93 : 647.14 = 259.11 : x
  2. Step 2: Convert to fraction form
    468.93/647.14 = 259.11/x
  3. Step 3: Cross multiply
    468.93x = 647.14 × 259.11
  4. Step 4: Simplify right side
    468.93x = 167,677.21
  5. Step 5: Solve for x
    x = 167,677.21/468.93
  6. Step 6: Final answer
    x = 357.57

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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.