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Finding the Fourth Proportional to 495.47, 742.40 and 476.51

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Solution

The fourth proportional to 495.47, 742.40 and 476.51 is: 713.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    495.47 : 742.40 = 476.51 : x
  2. Step 2: Convert to fraction form
    495.47/742.40 = 476.51/x
  3. Step 3: Cross multiply
    495.47x = 742.40 × 476.51
  4. Step 4: Simplify right side
    495.47x = 353,754.93
  5. Step 5: Solve for x
    x = 353,754.93/495.47
  6. Step 6: Final answer
    x = 713.97

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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.