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Finding the Fourth Proportional to 664.09, 916.47 and 369.35

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Solution

The fourth proportional to 664.09, 916.47 and 369.35 is: 509.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    664.09 : 916.47 = 369.35 : x
  2. Step 2: Convert to fraction form
    664.09/916.47 = 369.35/x
  3. Step 3: Cross multiply
    664.09x = 916.47 × 369.35
  4. Step 4: Simplify right side
    664.09x = 338,498.19
  5. Step 5: Solve for x
    x = 338,498.19/664.09
  6. Step 6: Final answer
    x = 509.72

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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.