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Finding the Fourth Proportional to 594.42, 820.29 and 332.43

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Solution

The fourth proportional to 594.42, 820.29 and 332.43 is: 458.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    594.42 : 820.29 = 332.43 : x
  2. Step 2: Convert to fraction form
    594.42/820.29 = 332.43/x
  3. Step 3: Cross multiply
    594.42x = 820.29 × 332.43
  4. Step 4: Simplify right side
    594.42x = 272,689.00
  5. Step 5: Solve for x
    x = 272,689.00/594.42
  6. Step 6: Final answer
    x = 458.75

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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.