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Finding the Fourth Proportional to 597.76, 824.36 and 433.06

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Solution

The fourth proportional to 597.76, 824.36 and 433.06 is: 597.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    597.76 : 824.36 = 433.06 : x
  2. Step 2: Convert to fraction form
    597.76/824.36 = 433.06/x
  3. Step 3: Cross multiply
    597.76x = 824.36 × 433.06
  4. Step 4: Simplify right side
    597.76x = 356,997.34
  5. Step 5: Solve for x
    x = 356,997.34/597.76
  6. Step 6: Final answer
    x = 597.23

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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.