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Finding the Fourth Proportional to 432.88, 593.69 and 415.24

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Solution

The fourth proportional to 432.88, 593.69 and 415.24 is: 569.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    432.88 : 593.69 = 415.24 : x
  2. Step 2: Convert to fraction form
    432.88/593.69 = 415.24/x
  3. Step 3: Cross multiply
    432.88x = 593.69 × 415.24
  4. Step 4: Simplify right side
    432.88x = 246,523.84
  5. Step 5: Solve for x
    x = 246,523.84/432.88
  6. Step 6: Final answer
    x = 569.50

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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.