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Finding the Fourth Proportional to 672.92, 928.83 and 420.98

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Solution

The fourth proportional to 672.92, 928.83 and 420.98 is: 581.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    672.92 : 928.83 = 420.98 : x
  2. Step 2: Convert to fraction form
    672.92/928.83 = 420.98/x
  3. Step 3: Cross multiply
    672.92x = 928.83 × 420.98
  4. Step 4: Simplify right side
    672.92x = 391,018.85
  5. Step 5: Solve for x
    x = 391,018.85/672.92
  6. Step 6: Final answer
    x = 581.08

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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.