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Finding the Fourth Proportional to 437.67, 657.95 and 365.67

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Solution

The fourth proportional to 437.67, 657.95 and 365.67 is: 549.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    437.67 : 657.95 = 365.67 : x
  2. Step 2: Convert to fraction form
    437.67/657.95 = 365.67/x
  3. Step 3: Cross multiply
    437.67x = 657.95 × 365.67
  4. Step 4: Simplify right side
    437.67x = 240,590.75
  5. Step 5: Solve for x
    x = 240,590.75/437.67
  6. Step 6: Final answer
    x = 549.71

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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.