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Finding the Fourth Proportional to 597.52, 824.59 and 364.50

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Solution

The fourth proportional to 597.52, 824.59 and 364.50 is: 503.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    597.52 : 824.59 = 364.50 : x
  2. Step 2: Convert to fraction form
    597.52/824.59 = 364.50/x
  3. Step 3: Cross multiply
    597.52x = 824.59 × 364.50
  4. Step 4: Simplify right side
    597.52x = 300,563.06
  5. Step 5: Solve for x
    x = 300,563.06/597.52
  6. Step 6: Final answer
    x = 503.02

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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.