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Finding the Fourth Proportional to 542.57, 815.06 and 360.32

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Solution

The fourth proportional to 542.57, 815.06 and 360.32 is: 541.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    542.57 : 815.06 = 360.32 : x
  2. Step 2: Convert to fraction form
    542.57/815.06 = 360.32/x
  3. Step 3: Cross multiply
    542.57x = 815.06 × 360.32
  4. Step 4: Simplify right side
    542.57x = 293,679.24
  5. Step 5: Solve for x
    x = 293,679.24/542.57
  6. Step 6: Final answer
    x = 541.28

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.