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Finding the Fourth Proportional to 453.84, 625.68 and 304.40

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Solution

The fourth proportional to 453.84, 625.68 and 304.40 is: 419.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    453.84 : 625.68 = 304.40 : x
  2. Step 2: Convert to fraction form
    453.84/625.68 = 304.40/x
  3. Step 3: Cross multiply
    453.84x = 625.68 × 304.40
  4. Step 4: Simplify right side
    453.84x = 190,456.99
  5. Step 5: Solve for x
    x = 190,456.99/453.84
  6. Step 6: Final answer
    x = 419.66

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.