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Finding the Fourth Proportional to 541.49, 746.99 and 415.37

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Solution

The fourth proportional to 541.49, 746.99 and 415.37 is: 573.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    541.49 : 746.99 = 415.37 : x
  2. Step 2: Convert to fraction form
    541.49/746.99 = 415.37/x
  3. Step 3: Cross multiply
    541.49x = 746.99 × 415.37
  4. Step 4: Simplify right side
    541.49x = 310,271.42
  5. Step 5: Solve for x
    x = 310,271.42/541.49
  6. Step 6: Final answer
    x = 573.00

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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.