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Finding the Fourth Proportional to 584.09, 806.06 and 384.70

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Solution

The fourth proportional to 584.09, 806.06 and 384.70 is: 530.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    584.09 : 806.06 = 384.70 : x
  2. Step 2: Convert to fraction form
    584.09/806.06 = 384.70/x
  3. Step 3: Cross multiply
    584.09x = 806.06 × 384.70
  4. Step 4: Simplify right side
    584.09x = 310,091.28
  5. Step 5: Solve for x
    x = 310,091.28/584.09
  6. Step 6: Final answer
    x = 530.90

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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.