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Finding the Fourth Proportional to 581.95, 873.10 and 235.22

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Solution

The fourth proportional to 581.95, 873.10 and 235.22 is: 352.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    581.95 : 873.10 = 235.22 : x
  2. Step 2: Convert to fraction form
    581.95/873.10 = 235.22/x
  3. Step 3: Cross multiply
    581.95x = 873.10 × 235.22
  4. Step 4: Simplify right side
    581.95x = 205,372.08
  5. Step 5: Solve for x
    x = 205,372.08/581.95
  6. Step 6: Final answer
    x = 352.90

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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.