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Finding the Fourth Proportional to 384.12, 530.07 and 274.07

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Solution

The fourth proportional to 384.12, 530.07 and 274.07 is: 378.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    384.12 : 530.07 = 274.07 : x
  2. Step 2: Convert to fraction form
    384.12/530.07 = 274.07/x
  3. Step 3: Cross multiply
    384.12x = 530.07 × 274.07
  4. Step 4: Simplify right side
    384.12x = 145,273.63
  5. Step 5: Solve for x
    x = 145,273.63/384.12
  6. Step 6: Final answer
    x = 378.20

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Why These Related Problems?

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