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Finding the Fourth Proportional to 445.64, 669.50 and 392.68

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Solution

The fourth proportional to 445.64, 669.50 and 392.68 is: 589.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    445.64 : 669.50 = 392.68 : x
  2. Step 2: Convert to fraction form
    445.64/669.50 = 392.68/x
  3. Step 3: Cross multiply
    445.64x = 669.50 × 392.68
  4. Step 4: Simplify right side
    445.64x = 262,899.26
  5. Step 5: Solve for x
    x = 262,899.26/445.64
  6. Step 6: Final answer
    x = 589.94

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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.