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Finding the Fourth Proportional to 381.68, 568.40 and 373.68

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Solution

The fourth proportional to 381.68, 568.40 and 373.68 is: 556.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    381.68 : 568.40 = 373.68 : x
  2. Step 2: Convert to fraction form
    381.68/568.40 = 373.68/x
  3. Step 3: Cross multiply
    381.68x = 568.40 × 373.68
  4. Step 4: Simplify right side
    381.68x = 212,399.71
  5. Step 5: Solve for x
    x = 212,399.71/381.68
  6. Step 6: Final answer
    x = 556.49

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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.