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Finding the Fourth Proportional to 541.04, 745.56 and 354.32

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Solution

The fourth proportional to 541.04, 745.56 and 354.32 is: 488.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    541.04 : 745.56 = 354.32 : x
  2. Step 2: Convert to fraction form
    541.04/745.56 = 354.32/x
  3. Step 3: Cross multiply
    541.04x = 745.56 × 354.32
  4. Step 4: Simplify right side
    541.04x = 264,166.82
  5. Step 5: Solve for x
    x = 264,166.82/541.04
  6. Step 6: Final answer
    x = 488.26

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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.