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Finding the Fourth Proportional to 598.41, 826.88 and 468.41

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Solution

The fourth proportional to 598.41, 826.88 and 468.41 is: 647.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    598.41 : 826.88 = 468.41 : x
  2. Step 2: Convert to fraction form
    598.41/826.88 = 468.41/x
  3. Step 3: Cross multiply
    598.41x = 826.88 × 468.41
  4. Step 4: Simplify right side
    598.41x = 387,312.38
  5. Step 5: Solve for x
    x = 387,312.38/598.41
  6. Step 6: Final answer
    x = 647.24

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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.