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Finding the Fourth Proportional to 395.06, 594.90 and 293.07

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Solution

The fourth proportional to 395.06, 594.90 and 293.07 is: 441.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    395.06 : 594.90 = 293.07 : x
  2. Step 2: Convert to fraction form
    395.06/594.90 = 293.07/x
  3. Step 3: Cross multiply
    395.06x = 594.90 × 293.07
  4. Step 4: Simplify right side
    395.06x = 174,347.34
  5. Step 5: Solve for x
    x = 174,347.34/395.06
  6. Step 6: Final answer
    x = 441.32

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.