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Finding the Fourth Proportional to 690.30, 951.69 and 468.87

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Solution

The fourth proportional to 690.30, 951.69 and 468.87 is: 646.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    690.30 : 951.69 = 468.87 : x
  2. Step 2: Convert to fraction form
    690.30/951.69 = 468.87/x
  3. Step 3: Cross multiply
    690.30x = 951.69 × 468.87
  4. Step 4: Simplify right side
    690.30x = 446,218.89
  5. Step 5: Solve for x
    x = 446,218.89/690.30
  6. Step 6: Final answer
    x = 646.41

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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.