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Finding the Fourth Proportional to 914, 1,370.64 and 336.48

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Solution

The fourth proportional to 914, 1,370.64 and 336.48 is: 504.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    914 : 1,370.64 = 336.48 : x
  2. Step 2: Convert to fraction form
    914/1,370.64 = 336.48/x
  3. Step 3: Cross multiply
    914x = 1,370.64 × 336.48
  4. Step 4: Simplify right side
    914x = 461,192.95
  5. Step 5: Solve for x
    x = 461,192.95/914
  6. Step 6: Final answer
    x = 504.59

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.