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Finding the Fourth Proportional to 946.70, 1,420.04 and 288.57

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Solution

The fourth proportional to 946.70, 1,420.04 and 288.57 is: 432.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    946.70 : 1,420.04 = 288.57 : x
  2. Step 2: Convert to fraction form
    946.70/1,420.04 = 288.57/x
  3. Step 3: Cross multiply
    946.70x = 1,420.04 × 288.57
  4. Step 4: Simplify right side
    946.70x = 409,779.50
  5. Step 5: Solve for x
    x = 409,779.50/946.70
  6. Step 6: Final answer
    x = 432.85

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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.