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Finding the Fourth Proportional to 483.42, 665.67 and 432.84

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Solution

The fourth proportional to 483.42, 665.67 and 432.84 is: 596.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    483.42 : 665.67 = 432.84 : x
  2. Step 2: Convert to fraction form
    483.42/665.67 = 432.84/x
  3. Step 3: Cross multiply
    483.42x = 665.67 × 432.84
  4. Step 4: Simplify right side
    483.42x = 288,130.29
  5. Step 5: Solve for x
    x = 288,130.29/483.42
  6. Step 6: Final answer
    x = 596.03

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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.