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Finding the Fourth Proportional to 537.67, 805.14 and 446.10

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Solution

The fourth proportional to 537.67, 805.14 and 446.10 is: 668.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    537.67 : 805.14 = 446.10 : x
  2. Step 2: Convert to fraction form
    537.67/805.14 = 446.10/x
  3. Step 3: Cross multiply
    537.67x = 805.14 × 446.10
  4. Step 4: Simplify right side
    537.67x = 359,172.95
  5. Step 5: Solve for x
    x = 359,172.95/537.67
  6. Step 6: Final answer
    x = 668.02

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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.