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Finding the Fourth Proportional to 583.32, 805.00 and 359.33

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Solution

The fourth proportional to 583.32, 805.00 and 359.33 is: 495.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    583.32 : 805.00 = 359.33 : x
  2. Step 2: Convert to fraction form
    583.32/805.00 = 359.33/x
  3. Step 3: Cross multiply
    583.32x = 805.00 × 359.33
  4. Step 4: Simplify right side
    583.32x = 289,263.11
  5. Step 5: Solve for x
    x = 289,263.11/583.32
  6. Step 6: Final answer
    x = 495.89

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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.