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Finding the Fourth Proportional to 583.66, 875.49 and 461.76

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Solution

The fourth proportional to 583.66, 875.49 and 461.76 is: 692.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    583.66 : 875.49 = 461.76 : x
  2. Step 2: Convert to fraction form
    583.66/875.49 = 461.76/x
  3. Step 3: Cross multiply
    583.66x = 875.49 × 461.76
  4. Step 4: Simplify right side
    583.66x = 404,266.26
  5. Step 5: Solve for x
    x = 404,266.26/583.66
  6. Step 6: Final answer
    x = 692.64

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.