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Finding the Fourth Proportional to 488.64, 673.92 and 378.42

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Solution

The fourth proportional to 488.64, 673.92 and 378.42 is: 521.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    488.64 : 673.92 = 378.42 : x
  2. Step 2: Convert to fraction form
    488.64/673.92 = 378.42/x
  3. Step 3: Cross multiply
    488.64x = 673.92 × 378.42
  4. Step 4: Simplify right side
    488.64x = 255,024.81
  5. Step 5: Solve for x
    x = 255,024.81/488.64
  6. Step 6: Final answer
    x = 521.91

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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.