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Finding the Fourth Proportional to 602.82, 837.36 and 585.54

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Solution

The fourth proportional to 602.82, 837.36 and 585.54 is: 813.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    602.82 : 837.36 = 585.54 : x
  2. Step 2: Convert to fraction form
    602.82/837.36 = 585.54/x
  3. Step 3: Cross multiply
    602.82x = 837.36 × 585.54
  4. Step 4: Simplify right side
    602.82x = 490,307.77
  5. Step 5: Solve for x
    x = 490,307.77/602.82
  6. Step 6: Final answer
    x = 813.36

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These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.