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Finding the Fourth Proportional to 437.42, 657.50 and 404.62

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Solution

The fourth proportional to 437.42, 657.50 and 404.62 is: 608.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    437.42 : 657.50 = 404.62 : x
  2. Step 2: Convert to fraction form
    437.42/657.50 = 404.62/x
  3. Step 3: Cross multiply
    437.42x = 657.50 × 404.62
  4. Step 4: Simplify right side
    437.42x = 266,037.65
  5. Step 5: Solve for x
    x = 266,037.65/437.42
  6. Step 6: Final answer
    x = 608.20

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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.