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Finding the Fourth Proportional to 581.63, 872.72 and 256.95

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Solution

The fourth proportional to 581.63, 872.72 and 256.95 is: 385.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    581.63 : 872.72 = 256.95 : x
  2. Step 2: Convert to fraction form
    581.63/872.72 = 256.95/x
  3. Step 3: Cross multiply
    581.63x = 872.72 × 256.95
  4. Step 4: Simplify right side
    581.63x = 224,245.40
  5. Step 5: Solve for x
    x = 224,245.40/581.63
  6. Step 6: Final answer
    x = 385.55

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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.