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Finding the Fourth Proportional to 456.40, 681.90 and 351.68

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Solution

The fourth proportional to 456.40, 681.90 and 351.68 is: 525.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    456.40 : 681.90 = 351.68 : x
  2. Step 2: Convert to fraction form
    456.40/681.90 = 351.68/x
  3. Step 3: Cross multiply
    456.40x = 681.90 × 351.68
  4. Step 4: Simplify right side
    456.40x = 239,810.59
  5. Step 5: Solve for x
    x = 239,810.59/456.40
  6. Step 6: Final answer
    x = 525.44

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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.