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Finding the Fourth Proportional to 432.37, 596.59 and 410.47

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Solution

The fourth proportional to 432.37, 596.59 and 410.47 is: 566.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    432.37 : 596.59 = 410.47 : x
  2. Step 2: Convert to fraction form
    432.37/596.59 = 410.47/x
  3. Step 3: Cross multiply
    432.37x = 596.59 × 410.47
  4. Step 4: Simplify right side
    432.37x = 244,883.79
  5. Step 5: Solve for x
    x = 244,883.79/432.37
  6. Step 6: Final answer
    x = 566.38

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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.