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Finding the Fourth Proportional to 584.39, 806.54 and 335.76

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Solution

The fourth proportional to 584.39, 806.54 and 335.76 is: 463.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    584.39 : 806.54 = 335.76 : x
  2. Step 2: Convert to fraction form
    584.39/806.54 = 335.76/x
  3. Step 3: Cross multiply
    584.39x = 806.54 × 335.76
  4. Step 4: Simplify right side
    584.39x = 270,802.19
  5. Step 5: Solve for x
    x = 270,802.19/584.39
  6. Step 6: Final answer
    x = 463.40

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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.