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Finding the Fourth Proportional to 402.70, 555.51 and 278.14

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Solution

The fourth proportional to 402.70, 555.51 and 278.14 is: 383.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    402.70 : 555.51 = 278.14 : x
  2. Step 2: Convert to fraction form
    402.70/555.51 = 278.14/x
  3. Step 3: Cross multiply
    402.70x = 555.51 × 278.14
  4. Step 4: Simplify right side
    402.70x = 154,509.55
  5. Step 5: Solve for x
    x = 154,509.55/402.70
  6. Step 6: Final answer
    x = 383.68

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.