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Finding the Fourth Proportional to 597.10, 824.22 and 534.82

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Solution

The fourth proportional to 597.10, 824.22 and 534.82 is: 738.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    597.10 : 824.22 = 534.82 : x
  2. Step 2: Convert to fraction form
    597.10/824.22 = 534.82/x
  3. Step 3: Cross multiply
    597.10x = 824.22 × 534.82
  4. Step 4: Simplify right side
    597.10x = 440,809.34
  5. Step 5: Solve for x
    x = 440,809.34/597.10
  6. Step 6: Final answer
    x = 738.25

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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.