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Finding the Fourth Proportional to 594.24, 820.06 and 398.24

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Solution

The fourth proportional to 594.24, 820.06 and 398.24 is: 549.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    594.24 : 820.06 = 398.24 : x
  2. Step 2: Convert to fraction form
    594.24/820.06 = 398.24/x
  3. Step 3: Cross multiply
    594.24x = 820.06 × 398.24
  4. Step 4: Simplify right side
    594.24x = 326,580.69
  5. Step 5: Solve for x
    x = 326,580.69/594.24
  6. Step 6: Final answer
    x = 549.58

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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.