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Finding the Fourth Proportional to 554.26, 830.85 and 359.05

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Solution

The fourth proportional to 554.26, 830.85 and 359.05 is: 538.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    554.26 : 830.85 = 359.05 : x
  2. Step 2: Convert to fraction form
    554.26/830.85 = 359.05/x
  3. Step 3: Cross multiply
    554.26x = 830.85 × 359.05
  4. Step 4: Simplify right side
    554.26x = 298,316.69
  5. Step 5: Solve for x
    x = 298,316.69/554.26
  6. Step 6: Final answer
    x = 538.23

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Why These Related Problems?

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