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Finding the Fourth Proportional to 597.04, 823.80 and 361.12

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Solution

The fourth proportional to 597.04, 823.80 and 361.12 is: 498.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    597.04 : 823.80 = 361.12 : x
  2. Step 2: Convert to fraction form
    597.04/823.80 = 361.12/x
  3. Step 3: Cross multiply
    597.04x = 823.80 × 361.12
  4. Step 4: Simplify right side
    597.04x = 297,490.66
  5. Step 5: Solve for x
    x = 297,490.66/597.04
  6. Step 6: Final answer
    x = 498.28

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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.