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Finding the Fourth Proportional to 430.49, 646.00 and 187.03

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Solution

The fourth proportional to 430.49, 646.00 and 187.03 is: 280.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    430.49 : 646.00 = 187.03 : x
  2. Step 2: Convert to fraction form
    430.49/646.00 = 187.03/x
  3. Step 3: Cross multiply
    430.49x = 646.00 × 187.03
  4. Step 4: Simplify right side
    430.49x = 120,824.06
  5. Step 5: Solve for x
    x = 120,824.06/430.49
  6. Step 6: Final answer
    x = 280.67

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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.