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Finding the Fourth Proportional to 673.10, 928.78 and 378.31

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Solution

The fourth proportional to 673.10, 928.78 and 378.31 is: 522.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    673.10 : 928.78 = 378.31 : x
  2. Step 2: Convert to fraction form
    673.10/928.78 = 378.31/x
  3. Step 3: Cross multiply
    673.10x = 928.78 × 378.31
  4. Step 4: Simplify right side
    673.10x = 351,364.53
  5. Step 5: Solve for x
    x = 351,364.53/673.10
  6. Step 6: Final answer
    x = 522.01

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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.