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Finding the Fourth Proportional to 430.24, 645.11 and 293.47

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Solution

The fourth proportional to 430.24, 645.11 and 293.47 is: 440.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    430.24 : 645.11 = 293.47 : x
  2. Step 2: Convert to fraction form
    430.24/645.11 = 293.47/x
  3. Step 3: Cross multiply
    430.24x = 645.11 × 293.47
  4. Step 4: Simplify right side
    430.24x = 189,320.43
  5. Step 5: Solve for x
    x = 189,320.43/430.24
  6. Step 6: Final answer
    x = 440.03

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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.