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Finding the Fourth Proportional to 540.35, 809.06 and 430.14

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Solution

The fourth proportional to 540.35, 809.06 and 430.14 is: 644.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    540.35 : 809.06 = 430.14 : x
  2. Step 2: Convert to fraction form
    540.35/809.06 = 430.14/x
  3. Step 3: Cross multiply
    540.35x = 809.06 × 430.14
  4. Step 4: Simplify right side
    540.35x = 348,006.92
  5. Step 5: Solve for x
    x = 348,006.92/540.35
  6. Step 6: Final answer
    x = 644.05

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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.