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Finding the Fourth Proportional to 664.14, 916.53 and 384.46

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Solution

The fourth proportional to 664.14, 916.53 and 384.46 is: 530.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    664.14 : 916.53 = 384.46 : x
  2. Step 2: Convert to fraction form
    664.14/916.53 = 384.46/x
  3. Step 3: Cross multiply
    664.14x = 916.53 × 384.46
  4. Step 4: Simplify right side
    664.14x = 352,369.12
  5. Step 5: Solve for x
    x = 352,369.12/664.14
  6. Step 6: Final answer
    x = 530.56

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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.