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Finding the Fourth Proportional to 432.90, 595.11 and 430.26

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Solution

The fourth proportional to 432.90, 595.11 and 430.26 is: 591.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    432.90 : 595.11 = 430.26 : x
  2. Step 2: Convert to fraction form
    432.90/595.11 = 430.26/x
  3. Step 3: Cross multiply
    432.90x = 595.11 × 430.26
  4. Step 4: Simplify right side
    432.90x = 256,052.03
  5. Step 5: Solve for x
    x = 256,052.03/432.90
  6. Step 6: Final answer
    x = 591.48

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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.