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Finding the Fourth Proportional to 476.64, 657.90 and 319.54

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Solution

The fourth proportional to 476.64, 657.90 and 319.54 is: 441.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    476.64 : 657.90 = 319.54 : x
  2. Step 2: Convert to fraction form
    476.64/657.90 = 319.54/x
  3. Step 3: Cross multiply
    476.64x = 657.90 × 319.54
  4. Step 4: Simplify right side
    476.64x = 210,225.37
  5. Step 5: Solve for x
    x = 210,225.37/476.64
  6. Step 6: Final answer
    x = 441.06

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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.