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Finding the Fourth Proportional to 664.17, 916.42 and 384.30

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Solution

The fourth proportional to 664.17, 916.42 and 384.30 is: 530.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    664.17 : 916.42 = 384.30 : x
  2. Step 2: Convert to fraction form
    664.17/916.42 = 384.30/x
  3. Step 3: Cross multiply
    664.17x = 916.42 × 384.30
  4. Step 4: Simplify right side
    664.17x = 352,178.28
  5. Step 5: Solve for x
    x = 352,178.28/664.17
  6. Step 6: Final answer
    x = 530.25

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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.