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Finding the Fourth Proportional to 672.23, 926.82 and 435.76

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Solution

The fourth proportional to 672.23, 926.82 and 435.76 is: 600.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    672.23 : 926.82 = 435.76 : x
  2. Step 2: Convert to fraction form
    672.23/926.82 = 435.76/x
  3. Step 3: Cross multiply
    672.23x = 926.82 × 435.76
  4. Step 4: Simplify right side
    672.23x = 403,871.08
  5. Step 5: Solve for x
    x = 403,871.08/672.23
  6. Step 6: Final answer
    x = 600.79

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.