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Finding the Fourth Proportional to 461.54, 695.57 and 434.18

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Solution

The fourth proportional to 461.54, 695.57 and 434.18 is: 654.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    461.54 : 695.57 = 434.18 : x
  2. Step 2: Convert to fraction form
    461.54/695.57 = 434.18/x
  3. Step 3: Cross multiply
    461.54x = 695.57 × 434.18
  4. Step 4: Simplify right side
    461.54x = 302,002.58
  5. Step 5: Solve for x
    x = 302,002.58/461.54
  6. Step 6: Final answer
    x = 654.34

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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.