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Finding the Fourth Proportional to 672.85, 928.51 and 378.10

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Solution

The fourth proportional to 672.85, 928.51 and 378.10 is: 521.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    672.85 : 928.51 = 378.10 : x
  2. Step 2: Convert to fraction form
    672.85/928.51 = 378.10/x
  3. Step 3: Cross multiply
    672.85x = 928.51 × 378.10
  4. Step 4: Simplify right side
    672.85x = 351,069.63
  5. Step 5: Solve for x
    x = 351,069.63/672.85
  6. Step 6: Final answer
    x = 521.77

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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.