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Finding the Fourth Proportional to 541.05, 745.63 and 434.58

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Solution

The fourth proportional to 541.05, 745.63 and 434.58 is: 598.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    541.05 : 745.63 = 434.58 : x
  2. Step 2: Convert to fraction form
    541.05/745.63 = 434.58/x
  3. Step 3: Cross multiply
    541.05x = 745.63 × 434.58
  4. Step 4: Simplify right side
    541.05x = 324,034.80
  5. Step 5: Solve for x
    x = 324,034.80/541.05
  6. Step 6: Final answer
    x = 598.90

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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.