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Finding the Fourth Proportional to 597.02, 824.04 and 464.24

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Solution

The fourth proportional to 597.02, 824.04 and 464.24 is: 640.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    597.02 : 824.04 = 464.24 : x
  2. Step 2: Convert to fraction form
    597.02/824.04 = 464.24/x
  3. Step 3: Cross multiply
    597.02x = 824.04 × 464.24
  4. Step 4: Simplify right side
    597.02x = 382,552.33
  5. Step 5: Solve for x
    x = 382,552.33/597.02
  6. Step 6: Final answer
    x = 640.77

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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.