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Finding the Fourth Proportional to 476.42, 713.72 and 256.51

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Solution

The fourth proportional to 476.42, 713.72 and 256.51 is: 384.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    476.42 : 713.72 = 256.51 : x
  2. Step 2: Convert to fraction form
    476.42/713.72 = 256.51/x
  3. Step 3: Cross multiply
    476.42x = 713.72 × 256.51
  4. Step 4: Simplify right side
    476.42x = 183,076.32
  5. Step 5: Solve for x
    x = 183,076.32/476.42
  6. Step 6: Final answer
    x = 384.28

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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.