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Finding the Fourth Proportional to 417.66, 573.28 and 380.58

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Solution

The fourth proportional to 417.66, 573.28 and 380.58 is: 522.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    417.66 : 573.28 = 380.58 : x
  2. Step 2: Convert to fraction form
    417.66/573.28 = 380.58/x
  3. Step 3: Cross multiply
    417.66x = 573.28 × 380.58
  4. Step 4: Simplify right side
    417.66x = 218,178.90
  5. Step 5: Solve for x
    x = 218,178.90/417.66
  6. Step 6: Final answer
    x = 522.38

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.