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Finding the Fourth Proportional to 673.14, 928.93 and 378.41

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Solution

The fourth proportional to 673.14, 928.93 and 378.41 is: 522.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    673.14 : 928.93 = 378.41 : x
  2. Step 2: Convert to fraction form
    673.14/928.93 = 378.41/x
  3. Step 3: Cross multiply
    673.14x = 928.93 × 378.41
  4. Step 4: Simplify right side
    673.14x = 351,510.81
  5. Step 5: Solve for x
    x = 351,510.81/673.14
  6. Step 6: Final answer
    x = 522.19

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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.