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Finding the Fourth Proportional to 597.56, 824.08 and 401.32

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Solution

The fourth proportional to 597.56, 824.08 and 401.32 is: 553.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    597.56 : 824.08 = 401.32 : x
  2. Step 2: Convert to fraction form
    597.56/824.08 = 401.32/x
  3. Step 3: Cross multiply
    597.56x = 824.08 × 401.32
  4. Step 4: Simplify right side
    597.56x = 330,719.79
  5. Step 5: Solve for x
    x = 330,719.79/597.56
  6. Step 6: Final answer
    x = 553.45

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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.