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Finding the Fourth Proportional to 476.51, 657.71 and 427.31

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Solution

The fourth proportional to 476.51, 657.71 and 427.31 is: 589.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    476.51 : 657.71 = 427.31 : x
  2. Step 2: Convert to fraction form
    476.51/657.71 = 427.31/x
  3. Step 3: Cross multiply
    476.51x = 657.71 × 427.31
  4. Step 4: Simplify right side
    476.51x = 281,043.84
  5. Step 5: Solve for x
    x = 281,043.84/476.51
  6. Step 6: Final answer
    x = 589.79

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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.