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Finding the Fourth Proportional to 430.53, 645.80 and 199.35

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Solution

The fourth proportional to 430.53, 645.80 and 199.35 is: 299.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    430.53 : 645.80 = 199.35 : x
  2. Step 2: Convert to fraction form
    430.53/645.80 = 199.35/x
  3. Step 3: Cross multiply
    430.53x = 645.80 × 199.35
  4. Step 4: Simplify right side
    430.53x = 128,739.23
  5. Step 5: Solve for x
    x = 128,739.23/430.53
  6. Step 6: Final answer
    x = 299.03

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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.