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Finding the Fourth Proportional to 384.90, 530.49 and 278.56

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Solution

The fourth proportional to 384.90, 530.49 and 278.56 is: 383.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    384.90 : 530.49 = 278.56 : x
  2. Step 2: Convert to fraction form
    384.90/530.49 = 278.56/x
  3. Step 3: Cross multiply
    384.90x = 530.49 × 278.56
  4. Step 4: Simplify right side
    384.90x = 147,771.23
  5. Step 5: Solve for x
    x = 147,771.23/384.90
  6. Step 6: Final answer
    x = 383.92

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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.