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Finding the Fourth Proportional to 597.80, 824.74 and 440.81

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Solution

The fourth proportional to 597.80, 824.74 and 440.81 is: 608.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    597.80 : 824.74 = 440.81 : x
  2. Step 2: Convert to fraction form
    597.80/824.74 = 440.81/x
  3. Step 3: Cross multiply
    597.80x = 824.74 × 440.81
  4. Step 4: Simplify right side
    597.80x = 363,550.08
  5. Step 5: Solve for x
    x = 363,550.08/597.80
  6. Step 6: Final answer
    x = 608.15

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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.