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Finding the Fourth Proportional to 597.16, 823.08 and 472.24

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Solution

The fourth proportional to 597.16, 823.08 and 472.24 is: 650.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    597.16 : 823.08 = 472.24 : x
  2. Step 2: Convert to fraction form
    597.16/823.08 = 472.24/x
  3. Step 3: Cross multiply
    597.16x = 823.08 × 472.24
  4. Step 4: Simplify right side
    597.16x = 388,691.30
  5. Step 5: Solve for x
    x = 388,691.30/597.16
  6. Step 6: Final answer
    x = 650.90

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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.