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Finding the Fourth Proportional to 535.24, 739.32 and 369.16

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Solution

The fourth proportional to 535.24, 739.32 and 369.16 is: 509.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    535.24 : 739.32 = 369.16 : x
  2. Step 2: Convert to fraction form
    535.24/739.32 = 369.16/x
  3. Step 3: Cross multiply
    535.24x = 739.32 × 369.16
  4. Step 4: Simplify right side
    535.24x = 272,927.37
  5. Step 5: Solve for x
    x = 272,927.37/535.24
  6. Step 6: Final answer
    x = 509.92

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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.