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Finding the Fourth Proportional to 583.67, 805.36 and 335

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Solution

The fourth proportional to 583.67, 805.36 and 335 is: 462.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    583.67 : 805.36 = 335 : x
  2. Step 2: Convert to fraction form
    583.67/805.36 = 335/x
  3. Step 3: Cross multiply
    583.67x = 805.36 × 335
  4. Step 4: Simplify right side
    583.67x = 269,795.60
  5. Step 5: Solve for x
    x = 269,795.60/583.67
  6. Step 6: Final answer
    x = 462.24

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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.