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Finding the Fourth Proportional to 690.64, 952.68 and 466.96

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Solution

The fourth proportional to 690.64, 952.68 and 466.96 is: 644.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    690.64 : 952.68 = 466.96 : x
  2. Step 2: Convert to fraction form
    690.64/952.68 = 466.96/x
  3. Step 3: Cross multiply
    690.64x = 952.68 × 466.96
  4. Step 4: Simplify right side
    690.64x = 444,863.45
  5. Step 5: Solve for x
    x = 444,863.45/690.64
  6. Step 6: Final answer
    x = 644.13

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.