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Finding the Fourth Proportional to 687.36, 948.54 and 403.84

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Solution

The fourth proportional to 687.36, 948.54 and 403.84 is: 557.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    687.36 : 948.54 = 403.84 : x
  2. Step 2: Convert to fraction form
    687.36/948.54 = 403.84/x
  3. Step 3: Cross multiply
    687.36x = 948.54 × 403.84
  4. Step 4: Simplify right side
    687.36x = 383,058.39
  5. Step 5: Solve for x
    x = 383,058.39/687.36
  6. Step 6: Final answer
    x = 557.29

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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.