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Finding the Fourth Proportional to 446.76, 670.05 and 424.82

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Solution

The fourth proportional to 446.76, 670.05 and 424.82 is: 637.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    446.76 : 670.05 = 424.82 : x
  2. Step 2: Convert to fraction form
    446.76/670.05 = 424.82/x
  3. Step 3: Cross multiply
    446.76x = 670.05 × 424.82
  4. Step 4: Simplify right side
    446.76x = 284,647.29
  5. Step 5: Solve for x
    x = 284,647.29/446.76
  6. Step 6: Final answer
    x = 637.14

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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.