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Finding the Fourth Proportional to 441.64, 658.72 and 434.40

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Solution

The fourth proportional to 441.64, 658.72 and 434.40 is: 647.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    441.64 : 658.72 = 434.40 : x
  2. Step 2: Convert to fraction form
    441.64/658.72 = 434.40/x
  3. Step 3: Cross multiply
    441.64x = 658.72 × 434.40
  4. Step 4: Simplify right side
    441.64x = 286,147.97
  5. Step 5: Solve for x
    x = 286,147.97/441.64
  6. Step 6: Final answer
    x = 647.92

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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.