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Finding the Fourth Proportional to 372.59, 513.72 and 316.46

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Solution

The fourth proportional to 372.59, 513.72 and 316.46 is: 436.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    372.59 : 513.72 = 316.46 : x
  2. Step 2: Convert to fraction form
    372.59/513.72 = 316.46/x
  3. Step 3: Cross multiply
    372.59x = 513.72 × 316.46
  4. Step 4: Simplify right side
    372.59x = 162,569.26
  5. Step 5: Solve for x
    x = 162,569.26/372.59
  6. Step 6: Final answer
    x = 436.33

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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.