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Finding the Fourth Proportional to 598.68, 826.08 and 377.93

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Solution

The fourth proportional to 598.68, 826.08 and 377.93 is: 521.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    598.68 : 826.08 = 377.93 : x
  2. Step 2: Convert to fraction form
    598.68/826.08 = 377.93/x
  3. Step 3: Cross multiply
    598.68x = 826.08 × 377.93
  4. Step 4: Simplify right side
    598.68x = 312,196.28
  5. Step 5: Solve for x
    x = 312,196.28/598.68
  6. Step 6: Final answer
    x = 521.47

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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.