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Finding the Fourth Proportional to 598.84, 826.70 and 400.02

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Solution

The fourth proportional to 598.84, 826.70 and 400.02 is: 552.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    598.84 : 826.70 = 400.02 : x
  2. Step 2: Convert to fraction form
    598.84/826.70 = 400.02/x
  3. Step 3: Cross multiply
    598.84x = 826.70 × 400.02
  4. Step 4: Simplify right side
    598.84x = 330,696.53
  5. Step 5: Solve for x
    x = 330,696.53/598.84
  6. Step 6: Final answer
    x = 552.23

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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.