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Finding the Fourth Proportional to 597.45, 824.11 and 373.51

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Solution

The fourth proportional to 597.45, 824.11 and 373.51 is: 515.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    597.45 : 824.11 = 373.51 : x
  2. Step 2: Convert to fraction form
    597.45/824.11 = 373.51/x
  3. Step 3: Cross multiply
    597.45x = 824.11 × 373.51
  4. Step 4: Simplify right side
    597.45x = 307,813.33
  5. Step 5: Solve for x
    x = 307,813.33/597.45
  6. Step 6: Final answer
    x = 515.21

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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.