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Finding the Fourth Proportional to 384.38, 530.25 and 266.48

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Solution

The fourth proportional to 384.38, 530.25 and 266.48 is: 367.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    384.38 : 530.25 = 266.48 : x
  2. Step 2: Convert to fraction form
    384.38/530.25 = 266.48/x
  3. Step 3: Cross multiply
    384.38x = 530.25 × 266.48
  4. Step 4: Simplify right side
    384.38x = 141,301.02
  5. Step 5: Solve for x
    x = 141,301.02/384.38
  6. Step 6: Final answer
    x = 367.61

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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.