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Finding the Fourth Proportional to 644.53, 964.40 and 384.67

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Solution

The fourth proportional to 644.53, 964.40 and 384.67 is: 575.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    644.53 : 964.40 = 384.67 : x
  2. Step 2: Convert to fraction form
    644.53/964.40 = 384.67/x
  3. Step 3: Cross multiply
    644.53x = 964.40 × 384.67
  4. Step 4: Simplify right side
    644.53x = 370,973.82
  5. Step 5: Solve for x
    x = 370,973.82/644.53
  6. Step 6: Final answer
    x = 575.58

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.