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Finding the Fourth Proportional to 434.48, 598.26 and 367.82

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Solution

The fourth proportional to 434.48, 598.26 and 367.82 is: 506.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    434.48 : 598.26 = 367.82 : x
  2. Step 2: Convert to fraction form
    434.48/598.26 = 367.82/x
  3. Step 3: Cross multiply
    434.48x = 598.26 × 367.82
  4. Step 4: Simplify right side
    434.48x = 220,051.99
  5. Step 5: Solve for x
    x = 220,051.99/434.48
  6. Step 6: Final answer
    x = 506.47

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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.