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Finding the Fourth Proportional to 468.94, 647.10 and 259.08

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Solution

The fourth proportional to 468.94, 647.10 and 259.08 is: 357.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    468.94 : 647.10 = 259.08 : x
  2. Step 2: Convert to fraction form
    468.94/647.10 = 259.08/x
  3. Step 3: Cross multiply
    468.94x = 647.10 × 259.08
  4. Step 4: Simplify right side
    468.94x = 167,650.67
  5. Step 5: Solve for x
    x = 167,650.67/468.94
  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.