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Finding the Fourth Proportional to 632.89, 873.49 and 384.42

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Solution

The fourth proportional to 632.89, 873.49 and 384.42 is: 530.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    632.89 : 873.49 = 384.42 : x
  2. Step 2: Convert to fraction form
    632.89/873.49 = 384.42/x
  3. Step 3: Cross multiply
    632.89x = 873.49 × 384.42
  4. Step 4: Simplify right side
    632.89x = 335,782.66
  5. Step 5: Solve for x
    x = 335,782.66/632.89
  6. Step 6: Final answer
    x = 530.56

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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.