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Finding the Fourth Proportional to 432.97, 594.59 and 370.80

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Solution

The fourth proportional to 432.97, 594.59 and 370.80 is: 509.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    432.97 : 594.59 = 370.80 : x
  2. Step 2: Convert to fraction form
    432.97/594.59 = 370.80/x
  3. Step 3: Cross multiply
    432.97x = 594.59 × 370.80
  4. Step 4: Simplify right side
    432.97x = 220,472.12
  5. Step 5: Solve for x
    x = 220,472.12/432.97
  6. Step 6: Final answer
    x = 509.21

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.