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Finding the Fourth Proportional to 598.84, 826.94 and 451.21

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Solution

The fourth proportional to 598.84, 826.94 and 451.21 is: 623.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    598.84 : 826.94 = 451.21 : x
  2. Step 2: Convert to fraction form
    598.84/826.94 = 451.21/x
  3. Step 3: Cross multiply
    598.84x = 826.94 × 451.21
  4. Step 4: Simplify right side
    598.84x = 373,123.60
  5. Step 5: Solve for x
    x = 373,123.60/598.84
  6. Step 6: Final answer
    x = 623.08

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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.