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Finding the Fourth Proportional to 554.30, 830.86 and 416.94

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Solution

The fourth proportional to 554.30, 830.86 and 416.94 is: 624.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    554.30 : 830.86 = 416.94 : x
  2. Step 2: Convert to fraction form
    554.30/830.86 = 416.94/x
  3. Step 3: Cross multiply
    554.30x = 830.86 × 416.94
  4. Step 4: Simplify right side
    554.30x = 346,414.61
  5. Step 5: Solve for x
    x = 346,414.61/554.30
  6. Step 6: Final answer
    x = 624.96

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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.