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Finding the Fourth Proportional to 597.68, 824.64 and 364.80

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Solution

The fourth proportional to 597.68, 824.64 and 364.80 is: 503.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    597.68 : 824.64 = 364.80 : x
  2. Step 2: Convert to fraction form
    597.68/824.64 = 364.80/x
  3. Step 3: Cross multiply
    597.68x = 824.64 × 364.80
  4. Step 4: Simplify right side
    597.68x = 300,828.67
  5. Step 5: Solve for x
    x = 300,828.67/597.68
  6. Step 6: Final answer
    x = 503.33

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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.