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Finding the Fourth Proportional to 453.08, 625.74 and 313.40

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Solution

The fourth proportional to 453.08, 625.74 and 313.40 is: 432.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    453.08 : 625.74 = 313.40 : x
  2. Step 2: Convert to fraction form
    453.08/625.74 = 313.40/x
  3. Step 3: Cross multiply
    453.08x = 625.74 × 313.40
  4. Step 4: Simplify right side
    453.08x = 196,106.92
  5. Step 5: Solve for x
    x = 196,106.92/453.08
  6. Step 6: Final answer
    x = 432.83

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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.