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Finding the Fourth Proportional to 369.39, 508.86 and 316.77

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Solution

The fourth proportional to 369.39, 508.86 and 316.77 is: 436.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    369.39 : 508.86 = 316.77 : x
  2. Step 2: Convert to fraction form
    369.39/508.86 = 316.77/x
  3. Step 3: Cross multiply
    369.39x = 508.86 × 316.77
  4. Step 4: Simplify right side
    369.39x = 161,191.58
  5. Step 5: Solve for x
    x = 161,191.58/369.39
  6. Step 6: Final answer
    x = 436.37

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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.