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Finding the Fourth Proportional to 430.43, 645.54 and 293.43

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Solution

The fourth proportional to 430.43, 645.54 and 293.43 is: 440.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    430.43 : 645.54 = 293.43 : x
  2. Step 2: Convert to fraction form
    430.43/645.54 = 293.43/x
  3. Step 3: Cross multiply
    430.43x = 645.54 × 293.43
  4. Step 4: Simplify right side
    430.43x = 189,420.80
  5. Step 5: Solve for x
    x = 189,420.80/430.43
  6. Step 6: Final answer
    x = 440.08

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.