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Finding the Fourth Proportional to 554.99, 829.10 and 397.56

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Solution

The fourth proportional to 554.99, 829.10 and 397.56 is: 593.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    554.99 : 829.10 = 397.56 : x
  2. Step 2: Convert to fraction form
    554.99/829.10 = 397.56/x
  3. Step 3: Cross multiply
    554.99x = 829.10 × 397.56
  4. Step 4: Simplify right side
    554.99x = 329,617.99
  5. Step 5: Solve for x
    x = 329,617.99/554.99
  6. Step 6: Final answer
    x = 593.92

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.