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Finding the Fourth Proportional to 453.54, 625.88 and 257.06

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Solution

The fourth proportional to 453.54, 625.88 and 257.06 is: 354.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    453.54 : 625.88 = 257.06 : x
  2. Step 2: Convert to fraction form
    453.54/625.88 = 257.06/x
  3. Step 3: Cross multiply
    453.54x = 625.88 × 257.06
  4. Step 4: Simplify right side
    453.54x = 160,888.71
  5. Step 5: Solve for x
    x = 160,888.71/453.54
  6. Step 6: Final answer
    x = 354.74

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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.