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Finding the Fourth Proportional to 597.96, 896.40 and 460.80

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Solution

The fourth proportional to 597.96, 896.40 and 460.80 is: 690.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    597.96 : 896.40 = 460.80 : x
  2. Step 2: Convert to fraction form
    597.96/896.40 = 460.80/x
  3. Step 3: Cross multiply
    597.96x = 896.40 × 460.80
  4. Step 4: Simplify right side
    597.96x = 413,061.12
  5. Step 5: Solve for x
    x = 413,061.12/597.96
  6. Step 6: Final answer
    x = 690.78

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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.