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Finding the Fourth Proportional to 594.24, 820.05 and 332.25

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Solution

The fourth proportional to 594.24, 820.05 and 332.25 is: 458.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    594.24 : 820.05 = 332.25 : x
  2. Step 2: Convert to fraction form
    594.24/820.05 = 332.25/x
  3. Step 3: Cross multiply
    594.24x = 820.05 × 332.25
  4. Step 4: Simplify right side
    594.24x = 272,462.86
  5. Step 5: Solve for x
    x = 272,462.86/594.24
  6. Step 6: Final answer
    x = 458.51

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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.