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Finding the Fourth Proportional to 554.41, 764.07 and 460.65

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Solution

The fourth proportional to 554.41, 764.07 and 460.65 is: 634.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    554.41 : 764.07 = 460.65 : x
  2. Step 2: Convert to fraction form
    554.41/764.07 = 460.65/x
  3. Step 3: Cross multiply
    554.41x = 764.07 × 460.65
  4. Step 4: Simplify right side
    554.41x = 351,968.85
  5. Step 5: Solve for x
    x = 351,968.85/554.41
  6. Step 6: Final answer
    x = 634.85

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.