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Finding the Fourth Proportional to 461.34, 695.43 and 454.86

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Solution

The fourth proportional to 461.34, 695.43 and 454.86 is: 685.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    461.34 : 695.43 = 454.86 : x
  2. Step 2: Convert to fraction form
    461.34/695.43 = 454.86/x
  3. Step 3: Cross multiply
    461.34x = 695.43 × 454.86
  4. Step 4: Simplify right side
    461.34x = 316,323.29
  5. Step 5: Solve for x
    x = 316,323.29/461.34
  6. Step 6: Final answer
    x = 685.66

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.