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Finding the Fourth Proportional to 690.15, 951.66 and 468.66

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Solution

The fourth proportional to 690.15, 951.66 and 468.66 is: 646.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    690.15 : 951.66 = 468.66 : x
  2. Step 2: Convert to fraction form
    690.15/951.66 = 468.66/x
  3. Step 3: Cross multiply
    690.15x = 951.66 × 468.66
  4. Step 4: Simplify right side
    690.15x = 446,004.98
  5. Step 5: Solve for x
    x = 446,004.98/690.15
  6. Step 6: Final answer
    x = 646.24

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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.