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Finding the Fourth Proportional to 664.31, 916.66 and 384.50

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Solution

The fourth proportional to 664.31, 916.66 and 384.50 is: 530.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    664.31 : 916.66 = 384.50 : x
  2. Step 2: Convert to fraction form
    664.31/916.66 = 384.50/x
  3. Step 3: Cross multiply
    664.31x = 916.66 × 384.50
  4. Step 4: Simplify right side
    664.31x = 352,455.77
  5. Step 5: Solve for x
    x = 352,455.77/664.31
  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.