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Finding the Fourth Proportional to 431.63, 596.41 and 428.90

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Solution

The fourth proportional to 431.63, 596.41 and 428.90 is: 592.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    431.63 : 596.41 = 428.90 : x
  2. Step 2: Convert to fraction form
    431.63/596.41 = 428.90/x
  3. Step 3: Cross multiply
    431.63x = 596.41 × 428.90
  4. Step 4: Simplify right side
    431.63x = 255,798.61
  5. Step 5: Solve for x
    x = 255,798.61/431.63
  6. Step 6: Final answer
    x = 592.64

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.