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Finding the Fourth Proportional to 397.58, 592.54 and 378.14

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Solution

The fourth proportional to 397.58, 592.54 and 378.14 is: 563.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    397.58 : 592.54 = 378.14 : x
  2. Step 2: Convert to fraction form
    397.58/592.54 = 378.14/x
  3. Step 3: Cross multiply
    397.58x = 592.54 × 378.14
  4. Step 4: Simplify right side
    397.58x = 224,063.08
  5. Step 5: Solve for x
    x = 224,063.08/397.58
  6. Step 6: Final answer
    x = 563.57

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.