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Finding the Fourth Proportional to 694.34, 1,041.42 and 309.50

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Solution

The fourth proportional to 694.34, 1,041.42 and 309.50 is: 464.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    694.34 : 1,041.42 = 309.50 : x
  2. Step 2: Convert to fraction form
    694.34/1,041.42 = 309.50/x
  3. Step 3: Cross multiply
    694.34x = 1,041.42 × 309.50
  4. Step 4: Simplify right side
    694.34x = 322,319.49
  5. Step 5: Solve for x
    x = 322,319.49/694.34
  6. Step 6: Final answer
    x = 464.21

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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.