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Finding the Fourth Proportional to 468.94, 647.16 and 259.12

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Solution

The fourth proportional to 468.94, 647.16 and 259.12 is: 357.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    468.94 : 647.16 = 259.12 : x
  2. Step 2: Convert to fraction form
    468.94/647.16 = 259.12/x
  3. Step 3: Cross multiply
    468.94x = 647.16 × 259.12
  4. Step 4: Simplify right side
    468.94x = 167,688.86
  5. Step 5: Solve for x
    x = 167,688.86/468.94
  6. Step 6: Final answer
    x = 357.59

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.