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Finding the Fourth Proportional to 712.64, 983.51 and 432.81

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Solution

The fourth proportional to 712.64, 983.51 and 432.81 is: 597.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    712.64 : 983.51 = 432.81 : x
  2. Step 2: Convert to fraction form
    712.64/983.51 = 432.81/x
  3. Step 3: Cross multiply
    712.64x = 983.51 × 432.81
  4. Step 4: Simplify right side
    712.64x = 425,665.88
  5. Step 5: Solve for x
    x = 425,665.88/712.64
  6. Step 6: Final answer
    x = 597.31

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.