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Finding the Fourth Proportional to 473.60, 653.76 and 299.04

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Solution

The fourth proportional to 473.60, 653.76 and 299.04 is: 412.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    473.60 : 653.76 = 299.04 : x
  2. Step 2: Convert to fraction form
    473.60/653.76 = 299.04/x
  3. Step 3: Cross multiply
    473.60x = 653.76 × 299.04
  4. Step 4: Simplify right side
    473.60x = 195,500.39
  5. Step 5: Solve for x
    x = 195,500.39/473.60
  6. Step 6: Final answer
    x = 412.80

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.