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Finding the Fourth Proportional to 554.25, 764.93 and 406.93

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Solution

The fourth proportional to 554.25, 764.93 and 406.93 is: 561.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    554.25 : 764.93 = 406.93 : x
  2. Step 2: Convert to fraction form
    554.25/764.93 = 406.93/x
  3. Step 3: Cross multiply
    554.25x = 764.93 × 406.93
  4. Step 4: Simplify right side
    554.25x = 311,272.96
  5. Step 5: Solve for x
    x = 311,272.96/554.25
  6. Step 6: Final answer
    x = 561.61

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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.