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Finding the Fourth Proportional to 554.51, 829.65 and 400.79

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Solution

The fourth proportional to 554.51, 829.65 and 400.79 is: 599.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    554.51 : 829.65 = 400.79 : x
  2. Step 2: Convert to fraction form
    554.51/829.65 = 400.79/x
  3. Step 3: Cross multiply
    554.51x = 829.65 × 400.79
  4. Step 4: Simplify right side
    554.51x = 332,515.42
  5. Step 5: Solve for x
    x = 332,515.42/554.51
  6. Step 6: Final answer
    x = 599.66

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.