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Finding the Fourth Proportional to 597.58, 824.28 and 364.70

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Solution

The fourth proportional to 597.58, 824.28 and 364.70 is: 503.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    597.58 : 824.28 = 364.70 : x
  2. Step 2: Convert to fraction form
    597.58/824.28 = 364.70/x
  3. Step 3: Cross multiply
    597.58x = 824.28 × 364.70
  4. Step 4: Simplify right side
    597.58x = 300,615.61
  5. Step 5: Solve for x
    x = 300,615.61/597.58
  6. Step 6: Final answer
    x = 503.06

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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.