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Finding the Fourth Proportional to 597.11, 824.00 and 464.48

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Solution

The fourth proportional to 597.11, 824.00 and 464.48 is: 640.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    597.11 : 824.00 = 464.48 : x
  2. Step 2: Convert to fraction form
    597.11/824.00 = 464.48/x
  3. Step 3: Cross multiply
    597.11x = 824.00 × 464.48
  4. Step 4: Simplify right side
    597.11x = 382,725.08
  5. Step 5: Solve for x
    x = 382,725.08/597.11
  6. Step 6: Final answer
    x = 640.96

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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.