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Finding the Fourth Proportional to 664.04, 916.40 and 365.31

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Solution

The fourth proportional to 664.04, 916.40 and 365.31 is: 504.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    664.04 : 916.40 = 365.31 : x
  2. Step 2: Convert to fraction form
    664.04/916.40 = 365.31/x
  3. Step 3: Cross multiply
    664.04x = 916.40 × 365.31
  4. Step 4: Simplify right side
    664.04x = 334,770.08
  5. Step 5: Solve for x
    x = 334,770.08/664.04
  6. Step 6: Final answer
    x = 504.14

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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.