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Finding the Fourth Proportional to 432.44, 596.75 and 266.93

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Solution

The fourth proportional to 432.44, 596.75 and 266.93 is: 368.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    432.44 : 596.75 = 266.93 : x
  2. Step 2: Convert to fraction form
    432.44/596.75 = 266.93/x
  3. Step 3: Cross multiply
    432.44x = 596.75 × 266.93
  4. Step 4: Simplify right side
    432.44x = 159,289.90
  5. Step 5: Solve for x
    x = 159,289.90/432.44
  6. Step 6: Final answer
    x = 368.35

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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.