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Finding the Fourth Proportional to 541.79, 748.64 and 410.57

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Solution

The fourth proportional to 541.79, 748.64 and 410.57 is: 567.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    541.79 : 748.64 = 410.57 : x
  2. Step 2: Convert to fraction form
    541.79/748.64 = 410.57/x
  3. Step 3: Cross multiply
    541.79x = 748.64 × 410.57
  4. Step 4: Simplify right side
    541.79x = 307,369.12
  5. Step 5: Solve for x
    x = 307,369.12/541.79
  6. Step 6: Final answer
    x = 567.32

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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.