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Finding the Fourth Proportional to 380.71, 567.40 and 380.10

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Solution

The fourth proportional to 380.71, 567.40 and 380.10 is: 566.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    380.71 : 567.40 = 380.10 : x
  2. Step 2: Convert to fraction form
    380.71/567.40 = 380.10/x
  3. Step 3: Cross multiply
    380.71x = 567.40 × 380.10
  4. Step 4: Simplify right side
    380.71x = 215,666.84
  5. Step 5: Solve for x
    x = 215,666.84/380.71
  6. Step 6: Final answer
    x = 566.49

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Why These Related Problems?

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