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Finding the Fourth Proportional to 397.08, 594.68 and 362.76

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Solution

The fourth proportional to 397.08, 594.68 and 362.76 is: 543.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    397.08 : 594.68 = 362.76 : x
  2. Step 2: Convert to fraction form
    397.08/594.68 = 362.76/x
  3. Step 3: Cross multiply
    397.08x = 594.68 × 362.76
  4. Step 4: Simplify right side
    397.08x = 215,726.12
  5. Step 5: Solve for x
    x = 215,726.12/397.08
  6. Step 6: Final answer
    x = 543.28

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.