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Finding the Fourth Proportional to 597.72, 824.76 and 400.89

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Solution

The fourth proportional to 597.72, 824.76 and 400.89 is: 553.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    597.72 : 824.76 = 400.89 : x
  2. Step 2: Convert to fraction form
    597.72/824.76 = 400.89/x
  3. Step 3: Cross multiply
    597.72x = 824.76 × 400.89
  4. Step 4: Simplify right side
    597.72x = 330,638.04
  5. Step 5: Solve for x
    x = 330,638.04/597.72
  6. Step 6: Final answer
    x = 553.17

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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.