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Finding the Fourth Proportional to 597.51, 824.31 and 376.07

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Solution

The fourth proportional to 597.51, 824.31 and 376.07 is: 518.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    597.51 : 824.31 = 376.07 : x
  2. Step 2: Convert to fraction form
    597.51/824.31 = 376.07/x
  3. Step 3: Cross multiply
    597.51x = 824.31 × 376.07
  4. Step 4: Simplify right side
    597.51x = 309,994.14
  5. Step 5: Solve for x
    x = 309,994.14/597.51
  6. Step 6: Final answer
    x = 518.81

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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.