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Finding the Fourth Proportional to 453.06, 625.31 and 313.13

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Solution

The fourth proportional to 453.06, 625.31 and 313.13 is: 432.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    453.06 : 625.31 = 313.13 : x
  2. Step 2: Convert to fraction form
    453.06/625.31 = 313.13/x
  3. Step 3: Cross multiply
    453.06x = 625.31 × 313.13
  4. Step 4: Simplify right side
    453.06x = 195,798.63
  5. Step 5: Solve for x
    x = 195,798.63/453.06
  6. Step 6: Final answer
    x = 432.17

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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.