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Finding the Fourth Proportional to 713.68, 985.02 and 403.24

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Solution

The fourth proportional to 713.68, 985.02 and 403.24 is: 556.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    713.68 : 985.02 = 403.24 : x
  2. Step 2: Convert to fraction form
    713.68/985.02 = 403.24/x
  3. Step 3: Cross multiply
    713.68x = 985.02 × 403.24
  4. Step 4: Simplify right side
    713.68x = 397,199.46
  5. Step 5: Solve for x
    x = 397,199.46/713.68
  6. Step 6: Final answer
    x = 556.55

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Why These Related Problems?

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