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Finding the Fourth Proportional to 554.69, 830.22 and 425.13

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Solution

The fourth proportional to 554.69, 830.22 and 425.13 is: 636.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    554.69 : 830.22 = 425.13 : x
  2. Step 2: Convert to fraction form
    554.69/830.22 = 425.13/x
  3. Step 3: Cross multiply
    554.69x = 830.22 × 425.13
  4. Step 4: Simplify right side
    554.69x = 352,951.43
  5. Step 5: Solve for x
    x = 352,951.43/554.69
  6. Step 6: Final answer
    x = 636.31

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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.