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Finding the Fourth Proportional to 664.44, 916.91 and 384.67

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Solution

The fourth proportional to 664.44, 916.91 and 384.67 is: 530.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    664.44 : 916.91 = 384.67 : x
  2. Step 2: Convert to fraction form
    664.44/916.91 = 384.67/x
  3. Step 3: Cross multiply
    664.44x = 916.91 × 384.67
  4. Step 4: Simplify right side
    664.44x = 352,707.77
  5. Step 5: Solve for x
    x = 352,707.77/664.44
  6. Step 6: Final answer
    x = 530.83

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Why These Related Problems?

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