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Finding the Fourth Proportional to 597.04, 823.94 and 364

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Solution

The fourth proportional to 597.04, 823.94 and 364 is: 502.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    597.04 : 823.94 = 364 : x
  2. Step 2: Convert to fraction form
    597.04/823.94 = 364/x
  3. Step 3: Cross multiply
    597.04x = 823.94 × 364
  4. Step 4: Simplify right side
    597.04x = 299,914.16
  5. Step 5: Solve for x
    x = 299,914.16/597.04
  6. Step 6: Final answer
    x = 502.34

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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.