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Finding the Fourth Proportional to 597.33, 824.45 and 400.64

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Solution

The fourth proportional to 597.33, 824.45 and 400.64 is: 552.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    597.33 : 824.45 = 400.64 : x
  2. Step 2: Convert to fraction form
    597.33/824.45 = 400.64/x
  3. Step 3: Cross multiply
    597.33x = 824.45 × 400.64
  4. Step 4: Simplify right side
    597.33x = 330,301.52
  5. Step 5: Solve for x
    x = 330,301.52/597.33
  6. Step 6: Final answer
    x = 552.96

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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.