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Finding the Fourth Proportional to 598.84, 826.62 and 458.94

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Solution

The fourth proportional to 598.84, 826.62 and 458.94 is: 633.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    598.84 : 826.62 = 458.94 : x
  2. Step 2: Convert to fraction form
    598.84/826.62 = 458.94/x
  3. Step 3: Cross multiply
    598.84x = 826.62 × 458.94
  4. Step 4: Simplify right side
    598.84x = 379,368.98
  5. Step 5: Solve for x
    x = 379,368.98/598.84
  6. Step 6: Final answer
    x = 633.51

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Why These Related Problems?

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