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Finding the Fourth Proportional to 430.50, 646.06 and 276.60

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Solution

The fourth proportional to 430.50, 646.06 and 276.60 is: 415.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    430.50 : 646.06 = 276.60 : x
  2. Step 2: Convert to fraction form
    430.50/646.06 = 276.60/x
  3. Step 3: Cross multiply
    430.50x = 646.06 × 276.60
  4. Step 4: Simplify right side
    430.50x = 178,700.20
  5. Step 5: Solve for x
    x = 178,700.20/430.50
  6. Step 6: Final answer
    x = 415.10

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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.