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Finding the Fourth Proportional to 690.07, 951.97 and 480.74

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Solution

The fourth proportional to 690.07, 951.97 and 480.74 is: 663.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    690.07 : 951.97 = 480.74 : x
  2. Step 2: Convert to fraction form
    690.07/951.97 = 480.74/x
  3. Step 3: Cross multiply
    690.07x = 951.97 × 480.74
  4. Step 4: Simplify right side
    690.07x = 457,650.06
  5. Step 5: Solve for x
    x = 457,650.06/690.07
  6. Step 6: Final answer
    x = 663.19

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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.