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Finding the Fourth Proportional to 598.04, 824.22 and 442.52

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Solution

The fourth proportional to 598.04, 824.22 and 442.52 is: 609.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    598.04 : 824.22 = 442.52 : x
  2. Step 2: Convert to fraction form
    598.04/824.22 = 442.52/x
  3. Step 3: Cross multiply
    598.04x = 824.22 × 442.52
  4. Step 4: Simplify right side
    598.04x = 364,733.83
  5. Step 5: Solve for x
    x = 364,733.83/598.04
  6. Step 6: Final answer
    x = 609.88

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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.