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Finding the Fourth Proportional to 660.75, 990.77 and 429.72

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Solution

The fourth proportional to 660.75, 990.77 and 429.72 is: 644.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    660.75 : 990.77 = 429.72 : x
  2. Step 2: Convert to fraction form
    660.75/990.77 = 429.72/x
  3. Step 3: Cross multiply
    660.75x = 990.77 × 429.72
  4. Step 4: Simplify right side
    660.75x = 425,751.54
  5. Step 5: Solve for x
    x = 425,751.54/660.75
  6. Step 6: Final answer
    x = 644.35

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.