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Finding the Fourth Proportional to 461.61, 688.86 and 380.61

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Solution

The fourth proportional to 461.61, 688.86 and 380.61 is: 567.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    461.61 : 688.86 = 380.61 : x
  2. Step 2: Convert to fraction form
    461.61/688.86 = 380.61/x
  3. Step 3: Cross multiply
    461.61x = 688.86 × 380.61
  4. Step 4: Simplify right side
    461.61x = 262,187.00
  5. Step 5: Solve for x
    x = 262,187.00/461.61
  6. Step 6: Final answer
    x = 567.98

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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.