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Finding the Fourth Proportional to 597.04, 824.16 and 400.92

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Solution

The fourth proportional to 597.04, 824.16 and 400.92 is: 553.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    597.04 : 824.16 = 400.92 : x
  2. Step 2: Convert to fraction form
    597.04/824.16 = 400.92/x
  3. Step 3: Cross multiply
    597.04x = 824.16 × 400.92
  4. Step 4: Simplify right side
    597.04x = 330,422.23
  5. Step 5: Solve for x
    x = 330,422.23/597.04
  6. Step 6: Final answer
    x = 553.43

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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.