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Finding the Fourth Proportional to 544.16, 751.93 and 412.94

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Solution

The fourth proportional to 544.16, 751.93 and 412.94 is: 570.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    544.16 : 751.93 = 412.94 : x
  2. Step 2: Convert to fraction form
    544.16/751.93 = 412.94/x
  3. Step 3: Cross multiply
    544.16x = 751.93 × 412.94
  4. Step 4: Simplify right side
    544.16x = 310,502.82
  5. Step 5: Solve for x
    x = 310,502.82/544.16
  6. Step 6: Final answer
    x = 570.61

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