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Finding the Fourth Proportional to 949.53, 1,424.79 and 429.75

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Solution

The fourth proportional to 949.53, 1,424.79 and 429.75 is: 644.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    949.53 : 1,424.79 = 429.75 : x
  2. Step 2: Convert to fraction form
    949.53/1,424.79 = 429.75/x
  3. Step 3: Cross multiply
    949.53x = 1,424.79 × 429.75
  4. Step 4: Simplify right side
    949.53x = 612,303.50
  5. Step 5: Solve for x
    x = 612,303.50/949.53
  6. Step 6: Final answer
    x = 644.85

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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.