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Finding the Fourth Proportional to 375.60, 562.38 and 277.38

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Solution

The fourth proportional to 375.60, 562.38 and 277.38 is: 415.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    375.60 : 562.38 = 277.38 : x
  2. Step 2: Convert to fraction form
    375.60/562.38 = 277.38/x
  3. Step 3: Cross multiply
    375.60x = 562.38 × 277.38
  4. Step 4: Simplify right side
    375.60x = 155,992.96
  5. Step 5: Solve for x
    x = 155,992.96/375.60
  6. Step 6: Final answer
    x = 415.32

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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.