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Finding the Fourth Proportional to 391.17, 585.88 and 253.80

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Solution

The fourth proportional to 391.17, 585.88 and 253.80 is: 380.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    391.17 : 585.88 = 253.80 : x
  2. Step 2: Convert to fraction form
    391.17/585.88 = 253.80/x
  3. Step 3: Cross multiply
    391.17x = 585.88 × 253.80
  4. Step 4: Simplify right side
    391.17x = 148,696.34
  5. Step 5: Solve for x
    x = 148,696.34/391.17
  6. Step 6: Final answer
    x = 380.13

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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.