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Finding the Fourth Proportional to 657.82, 985.62 and 464.50

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Solution

The fourth proportional to 657.82, 985.62 and 464.50 is: 695.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    657.82 : 985.62 = 464.50 : x
  2. Step 2: Convert to fraction form
    657.82/985.62 = 464.50/x
  3. Step 3: Cross multiply
    657.82x = 985.62 × 464.50
  4. Step 4: Simplify right side
    657.82x = 457,820.49
  5. Step 5: Solve for x
    x = 457,820.49/657.82
  6. Step 6: Final answer
    x = 695.97

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.