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Finding the Fourth Proportional to 476.40, 713.34 and 384.84

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Solution

The fourth proportional to 476.40, 713.34 and 384.84 is: 576.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    476.40 : 713.34 = 384.84 : x
  2. Step 2: Convert to fraction form
    476.40/713.34 = 384.84/x
  3. Step 3: Cross multiply
    476.40x = 713.34 × 384.84
  4. Step 4: Simplify right side
    476.40x = 274,521.77
  5. Step 5: Solve for x
    x = 274,521.77/476.40
  6. Step 6: Final answer
    x = 576.24

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.