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Finding the Fourth Proportional to 432.26, 593.51 and 420.99

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Solution

The fourth proportional to 432.26, 593.51 and 420.99 is: 578.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    432.26 : 593.51 = 420.99 : x
  2. Step 2: Convert to fraction form
    432.26/593.51 = 420.99/x
  3. Step 3: Cross multiply
    432.26x = 593.51 × 420.99
  4. Step 4: Simplify right side
    432.26x = 249,857.44
  5. Step 5: Solve for x
    x = 249,857.44/432.26
  6. Step 6: Final answer
    x = 578.02

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