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Finding the Fourth Proportional to 476.79, 661.31 and 457.35

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Solution

The fourth proportional to 476.79, 661.31 and 457.35 is: 634.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    476.79 : 661.31 = 457.35 : x
  2. Step 2: Convert to fraction form
    476.79/661.31 = 457.35/x
  3. Step 3: Cross multiply
    476.79x = 661.31 × 457.35
  4. Step 4: Simplify right side
    476.79x = 302,451.27
  5. Step 5: Solve for x
    x = 302,451.27/476.79
  6. Step 6: Final answer
    x = 634.35

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These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.