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Finding the Fourth Proportional to 632.08, 942.74 and 544.42

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Solution

The fourth proportional to 632.08, 942.74 and 544.42 is: 812.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    632.08 : 942.74 = 544.42 : x
  2. Step 2: Convert to fraction form
    632.08/942.74 = 544.42/x
  3. Step 3: Cross multiply
    632.08x = 942.74 × 544.42
  4. Step 4: Simplify right side
    632.08x = 513,246.51
  5. Step 5: Solve for x
    x = 513,246.51/632.08
  6. Step 6: Final answer
    x = 812.00

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.