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Finding the Fourth Proportional to 597.50, 824.24 and 401.08

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Solution

The fourth proportional to 597.50, 824.24 and 401.08 is: 553.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    597.50 : 824.24 = 401.08 : x
  2. Step 2: Convert to fraction form
    597.50/824.24 = 401.08/x
  3. Step 3: Cross multiply
    597.50x = 824.24 × 401.08
  4. Step 4: Simplify right side
    597.50x = 330,586.18
  5. Step 5: Solve for x
    x = 330,586.18/597.50
  6. Step 6: Final answer
    x = 553.28

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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.