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Finding the Fourth Proportional to 664.49, 916.70 and 384.63

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Solution

The fourth proportional to 664.49, 916.70 and 384.63 is: 530.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    664.49 : 916.70 = 384.63 : x
  2. Step 2: Convert to fraction form
    664.49/916.70 = 384.63/x
  3. Step 3: Cross multiply
    664.49x = 916.70 × 384.63
  4. Step 4: Simplify right side
    664.49x = 352,588.40
  5. Step 5: Solve for x
    x = 352,588.40/664.49
  6. Step 6: Final answer
    x = 530.62

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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.