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Finding the Fourth Proportional to 597.24, 896.64 and 460.38

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Solution

The fourth proportional to 597.24, 896.64 and 460.38 is: 691.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    597.24 : 896.64 = 460.38 : x
  2. Step 2: Convert to fraction form
    597.24/896.64 = 460.38/x
  3. Step 3: Cross multiply
    597.24x = 896.64 × 460.38
  4. Step 4: Simplify right side
    597.24x = 412,795.12
  5. Step 5: Solve for x
    x = 412,795.12/597.24
  6. Step 6: Final answer
    x = 691.17

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.