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Finding the Fourth Proportional to 433.86, 598.50 and 360.24

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Solution

The fourth proportional to 433.86, 598.50 and 360.24 is: 496.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    433.86 : 598.50 = 360.24 : x
  2. Step 2: Convert to fraction form
    433.86/598.50 = 360.24/x
  3. Step 3: Cross multiply
    433.86x = 598.50 × 360.24
  4. Step 4: Simplify right side
    433.86x = 215,603.64
  5. Step 5: Solve for x
    x = 215,603.64/433.86
  6. Step 6: Final answer
    x = 496.94

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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.