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Finding the Fourth Proportional to 913.58, 1,370.18 and 328.49

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Solution

The fourth proportional to 913.58, 1,370.18 and 328.49 is: 492.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    913.58 : 1,370.18 = 328.49 : x
  2. Step 2: Convert to fraction form
    913.58/1,370.18 = 328.49/x
  3. Step 3: Cross multiply
    913.58x = 1,370.18 × 328.49
  4. Step 4: Simplify right side
    913.58x = 450,089.54
  5. Step 5: Solve for x
    x = 450,089.54/913.58
  6. Step 6: Final answer
    x = 492.67

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Why These Related Problems?

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