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Finding the Fourth Proportional to 476.43, 710.85 and 395.43

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Solution

The fourth proportional to 476.43, 710.85 and 395.43 is: 590.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    476.43 : 710.85 = 395.43 : x
  2. Step 2: Convert to fraction form
    476.43/710.85 = 395.43/x
  3. Step 3: Cross multiply
    476.43x = 710.85 × 395.43
  4. Step 4: Simplify right side
    476.43x = 281,091.42
  5. Step 5: Solve for x
    x = 281,091.42/476.43
  6. Step 6: Final answer
    x = 590.00

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.