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Finding the Fourth Proportional to 583.36, 805.24 and 465.56

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Solution

The fourth proportional to 583.36, 805.24 and 465.56 is: 642.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    583.36 : 805.24 = 465.56 : x
  2. Step 2: Convert to fraction form
    583.36/805.24 = 465.56/x
  3. Step 3: Cross multiply
    583.36x = 805.24 × 465.56
  4. Step 4: Simplify right side
    583.36x = 374,887.53
  5. Step 5: Solve for x
    x = 374,887.53/583.36
  6. Step 6: Final answer
    x = 642.63

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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.