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Finding the Fourth Proportional to 430.50, 646.87 and 348.49

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Solution

The fourth proportional to 430.50, 646.87 and 348.49 is: 523.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    430.50 : 646.87 = 348.49 : x
  2. Step 2: Convert to fraction form
    430.50/646.87 = 348.49/x
  3. Step 3: Cross multiply
    430.50x = 646.87 × 348.49
  4. Step 4: Simplify right side
    430.50x = 225,427.73
  5. Step 5: Solve for x
    x = 225,427.73/430.50
  6. Step 6: Final answer
    x = 523.64

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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.