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Finding the Fourth Proportional to 946.93, 1,420.58 and 288.85

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Solution

The fourth proportional to 946.93, 1,420.58 and 288.85 is: 433.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    946.93 : 1,420.58 = 288.85 : x
  2. Step 2: Convert to fraction form
    946.93/1,420.58 = 288.85/x
  3. Step 3: Cross multiply
    946.93x = 1,420.58 × 288.85
  4. Step 4: Simplify right side
    946.93x = 410,334.53
  5. Step 5: Solve for x
    x = 410,334.53/946.93
  6. Step 6: Final answer
    x = 433.33

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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.