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Finding the Fourth Proportional to 432.80, 597.49 and 293.65

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Solution

The fourth proportional to 432.80, 597.49 and 293.65 is: 405.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    432.80 : 597.49 = 293.65 : x
  2. Step 2: Convert to fraction form
    432.80/597.49 = 293.65/x
  3. Step 3: Cross multiply
    432.80x = 597.49 × 293.65
  4. Step 4: Simplify right side
    432.80x = 175,452.94
  5. Step 5: Solve for x
    x = 175,452.94/432.80
  6. Step 6: Final answer
    x = 405.39

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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.