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Finding the Fourth Proportional to 437.99, 657.07 and 366.35

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Solution

The fourth proportional to 437.99, 657.07 and 366.35 is: 549.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    437.99 : 657.07 = 366.35 : x
  2. Step 2: Convert to fraction form
    437.99/657.07 = 366.35/x
  3. Step 3: Cross multiply
    437.99x = 657.07 × 366.35
  4. Step 4: Simplify right side
    437.99x = 240,714.31
  5. Step 5: Solve for x
    x = 240,714.31/437.99
  6. Step 6: Final answer
    x = 549.59

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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.