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Finding the Fourth Proportional to 453.16, 625.59 and 343.14

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Solution

The fourth proportional to 453.16, 625.59 and 343.14 is: 473.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    453.16 : 625.59 = 343.14 : x
  2. Step 2: Convert to fraction form
    453.16/625.59 = 343.14/x
  3. Step 3: Cross multiply
    453.16x = 625.59 × 343.14
  4. Step 4: Simplify right side
    453.16x = 214,662.61
  5. Step 5: Solve for x
    x = 214,662.61/453.16
  6. Step 6: Final answer
    x = 473.70

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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.