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Finding the Fourth Proportional to 583.69, 805.47 and 362.59

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Solution

The fourth proportional to 583.69, 805.47 and 362.59 is: 500.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    583.69 : 805.47 = 362.59 : x
  2. Step 2: Convert to fraction form
    583.69/805.47 = 362.59/x
  3. Step 3: Cross multiply
    583.69x = 805.47 × 362.59
  4. Step 4: Simplify right side
    583.69x = 292,055.37
  5. Step 5: Solve for x
    x = 292,055.37/583.69
  6. Step 6: Final answer
    x = 500.36

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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.