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Finding the Fourth Proportional to 583.18, 805.06 and 362.26

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Solution

The fourth proportional to 583.18, 805.06 and 362.26 is: 500.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    583.18 : 805.06 = 362.26 : x
  2. Step 2: Convert to fraction form
    583.18/805.06 = 362.26/x
  3. Step 3: Cross multiply
    583.18x = 805.06 × 362.26
  4. Step 4: Simplify right side
    583.18x = 291,641.04
  5. Step 5: Solve for x
    x = 291,641.04/583.18
  6. Step 6: Final answer
    x = 500.09

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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.