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Finding the Fourth Proportional to 583.69, 805.49 and 335.07

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Solution

The fourth proportional to 583.69, 805.49 and 335.07 is: 462.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    583.69 : 805.49 = 335.07 : x
  2. Step 2: Convert to fraction form
    583.69/805.49 = 335.07/x
  3. Step 3: Cross multiply
    583.69x = 805.49 × 335.07
  4. Step 4: Simplify right side
    583.69x = 269,895.53
  5. Step 5: Solve for x
    x = 269,895.53/583.69
  6. Step 6: Final answer
    x = 462.40

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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.