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Finding the Fourth Proportional to 430.68, 648.76 and 393.31

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Solution

The fourth proportional to 430.68, 648.76 and 393.31 is: 592.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    430.68 : 648.76 = 393.31 : x
  2. Step 2: Convert to fraction form
    430.68/648.76 = 393.31/x
  3. Step 3: Cross multiply
    430.68x = 648.76 × 393.31
  4. Step 4: Simplify right side
    430.68x = 255,163.80
  5. Step 5: Solve for x
    x = 255,163.80/430.68
  6. Step 6: Final answer
    x = 592.47

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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.