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Finding the Fourth Proportional to 583.66, 805.26 and 334.90

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Solution

The fourth proportional to 583.66, 805.26 and 334.90 is: 462.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    583.66 : 805.26 = 334.90 : x
  2. Step 2: Convert to fraction form
    583.66/805.26 = 334.90/x
  3. Step 3: Cross multiply
    583.66x = 805.26 × 334.90
  4. Step 4: Simplify right side
    583.66x = 269,681.57
  5. Step 5: Solve for x
    x = 269,681.57/583.66
  6. Step 6: Final answer
    x = 462.05

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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.