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Finding the Fourth Proportional to 583.42, 805.06 and 362.29

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Solution

The fourth proportional to 583.42, 805.06 and 362.29 is: 499.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    583.42 : 805.06 = 362.29 : x
  2. Step 2: Convert to fraction form
    583.42/805.06 = 362.29/x
  3. Step 3: Cross multiply
    583.42x = 805.06 × 362.29
  4. Step 4: Simplify right side
    583.42x = 291,665.19
  5. Step 5: Solve for x
    x = 291,665.19/583.42
  6. Step 6: Final answer
    x = 499.92

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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.