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Finding the Fourth Proportional to 946.50, 1,419.70 and 288.35

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Solution

The fourth proportional to 946.50, 1,419.70 and 288.35 is: 432.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    946.50 : 1,419.70 = 288.35 : x
  2. Step 2: Convert to fraction form
    946.50/1,419.70 = 288.35/x
  3. Step 3: Cross multiply
    946.50x = 1,419.70 × 288.35
  4. Step 4: Simplify right side
    946.50x = 409,370.50
  5. Step 5: Solve for x
    x = 409,370.50/946.50
  6. Step 6: Final answer
    x = 432.51

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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.