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Finding the Fourth Proportional to 723.64, 998.64 and 429.16

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Solution

The fourth proportional to 723.64, 998.64 and 429.16 is: 592.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    723.64 : 998.64 = 429.16 : x
  2. Step 2: Convert to fraction form
    723.64/998.64 = 429.16/x
  3. Step 3: Cross multiply
    723.64x = 998.64 × 429.16
  4. Step 4: Simplify right side
    723.64x = 428,576.34
  5. Step 5: Solve for x
    x = 428,576.34/723.64
  6. Step 6: Final answer
    x = 592.25

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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.