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Finding the Fourth Proportional to 604.86, 834.57 and 384.13

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Solution

The fourth proportional to 604.86, 834.57 and 384.13 is: 530.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    604.86 : 834.57 = 384.13 : x
  2. Step 2: Convert to fraction form
    604.86/834.57 = 384.13/x
  3. Step 3: Cross multiply
    604.86x = 834.57 × 384.13
  4. Step 4: Simplify right side
    604.86x = 320,583.37
  5. Step 5: Solve for x
    x = 320,583.37/604.86
  6. Step 6: Final answer
    x = 530.01

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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.