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Finding the Fourth Proportional to 583.50, 805.24 and 362.44

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Solution

The fourth proportional to 583.50, 805.24 and 362.44 is: 500.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    583.50 : 805.24 = 362.44 : x
  2. Step 2: Convert to fraction form
    583.50/805.24 = 362.44/x
  3. Step 3: Cross multiply
    583.50x = 805.24 × 362.44
  4. Step 4: Simplify right side
    583.50x = 291,851.19
  5. Step 5: Solve for x
    x = 291,851.19/583.50
  6. Step 6: Final answer
    x = 500.17

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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.