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Finding the Fourth Proportional to 372.35, 513.51 and 289.46

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Solution

The fourth proportional to 372.35, 513.51 and 289.46 is: 399.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    372.35 : 513.51 = 289.46 : x
  2. Step 2: Convert to fraction form
    372.35/513.51 = 289.46/x
  3. Step 3: Cross multiply
    372.35x = 513.51 × 289.46
  4. Step 4: Simplify right side
    372.35x = 148,638.04
  5. Step 5: Solve for x
    x = 148,638.04/372.35
  6. Step 6: Final answer
    x = 399.19

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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.