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Finding the Fourth Proportional to 572.16, 857.97 and 409.92

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Solution

The fourth proportional to 572.16, 857.97 and 409.92 is: 614.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    572.16 : 857.97 = 409.92 : x
  2. Step 2: Convert to fraction form
    572.16/857.97 = 409.92/x
  3. Step 3: Cross multiply
    572.16x = 857.97 × 409.92
  4. Step 4: Simplify right side
    572.16x = 351,699.06
  5. Step 5: Solve for x
    x = 351,699.06/572.16
  6. Step 6: Final answer
    x = 614.69

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.