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Finding the Fourth Proportional to 690.52, 953 and 480.64

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Solution

The fourth proportional to 690.52, 953 and 480.64 is: 663.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    690.52 : 953 = 480.64 : x
  2. Step 2: Convert to fraction form
    690.52/953 = 480.64/x
  3. Step 3: Cross multiply
    690.52x = 953 × 480.64
  4. Step 4: Simplify right side
    690.52x = 458,049.92
  5. Step 5: Solve for x
    x = 458,049.92/690.52
  6. Step 6: Final answer
    x = 663.34

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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.