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Finding the Fourth Proportional to 537.09, 809.79 and 430.17

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Solution

The fourth proportional to 537.09, 809.79 and 430.17 is: 648.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    537.09 : 809.79 = 430.17 : x
  2. Step 2: Convert to fraction form
    537.09/809.79 = 430.17/x
  3. Step 3: Cross multiply
    537.09x = 809.79 × 430.17
  4. Step 4: Simplify right side
    537.09x = 348,347.36
  5. Step 5: Solve for x
    x = 348,347.36/537.09
  6. Step 6: Final answer
    x = 648.58

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.