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Finding the Fourth Proportional to 554.94, 766.49 and 415.68

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Solution

The fourth proportional to 554.94, 766.49 and 415.68 is: 574.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    554.94 : 766.49 = 415.68 : x
  2. Step 2: Convert to fraction form
    554.94/766.49 = 415.68/x
  3. Step 3: Cross multiply
    554.94x = 766.49 × 415.68
  4. Step 4: Simplify right side
    554.94x = 318,614.56
  5. Step 5: Solve for x
    x = 318,614.56/554.94
  6. Step 6: Final answer
    x = 574.14

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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.