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Finding the Fourth Proportional to 672.81, 928.56 and 424.19

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Solution

The fourth proportional to 672.81, 928.56 and 424.19 is: 585.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    672.81 : 928.56 = 424.19 : x
  2. Step 2: Convert to fraction form
    672.81/928.56 = 424.19/x
  3. Step 3: Cross multiply
    672.81x = 928.56 × 424.19
  4. Step 4: Simplify right side
    672.81x = 393,884.56
  5. Step 5: Solve for x
    x = 393,884.56/672.81
  6. Step 6: Final answer
    x = 585.44

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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.