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Finding the Fourth Proportional to 583.40, 805.07 and 359.30

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Solution

The fourth proportional to 583.40, 805.07 and 359.30 is: 495.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    583.40 : 805.07 = 359.30 : x
  2. Step 2: Convert to fraction form
    583.40/805.07 = 359.30/x
  3. Step 3: Cross multiply
    583.40x = 805.07 × 359.30
  4. Step 4: Simplify right side
    583.40x = 289,264.56
  5. Step 5: Solve for x
    x = 289,264.56/583.40
  6. Step 6: Final answer
    x = 495.82

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.