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Finding the Fourth Proportional to 672.05, 926.21 and 497.09

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Solution

The fourth proportional to 672.05, 926.21 and 497.09 is: 685.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    672.05 : 926.21 = 497.09 : x
  2. Step 2: Convert to fraction form
    672.05/926.21 = 497.09/x
  3. Step 3: Cross multiply
    672.05x = 926.21 × 497.09
  4. Step 4: Simplify right side
    672.05x = 460,402.61
  5. Step 5: Solve for x
    x = 460,402.61/672.05
  6. Step 6: Final answer
    x = 685.08

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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.