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Finding the Fourth Proportional to 583.20, 805.02 and 362.28

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Solution

The fourth proportional to 583.20, 805.02 and 362.28 is: 500.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    583.20 : 805.02 = 362.28 : x
  2. Step 2: Convert to fraction form
    583.20/805.02 = 362.28/x
  3. Step 3: Cross multiply
    583.20x = 805.02 × 362.28
  4. Step 4: Simplify right side
    583.20x = 291,642.65
  5. Step 5: Solve for x
    x = 291,642.65/583.20
  6. Step 6: Final answer
    x = 500.07

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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.