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Finding the Fourth Proportional to 598.10, 824.53 and 411.29

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Solution

The fourth proportional to 598.10, 824.53 and 411.29 is: 567.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    598.10 : 824.53 = 411.29 : x
  2. Step 2: Convert to fraction form
    598.10/824.53 = 411.29/x
  3. Step 3: Cross multiply
    598.10x = 824.53 × 411.29
  4. Step 4: Simplify right side
    598.10x = 339,120.94
  5. Step 5: Solve for x
    x = 339,120.94/598.10
  6. Step 6: Final answer
    x = 567.00

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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.