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Finding the Fourth Proportional to 597, 823.95 and 364.08

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Solution

The fourth proportional to 597, 823.95 and 364.08 is: 502.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    597 : 823.95 = 364.08 : x
  2. Step 2: Convert to fraction form
    597/823.95 = 364.08/x
  3. Step 3: Cross multiply
    597x = 823.95 × 364.08
  4. Step 4: Simplify right side
    597x = 299,983.72
  5. Step 5: Solve for x
    x = 299,983.72/597
  6. Step 6: Final answer
    x = 502.49

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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.