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Finding the Fourth Proportional to 572.24, 857.64 and 410.24

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Solution

The fourth proportional to 572.24, 857.64 and 410.24 is: 614.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    572.24 : 857.64 = 410.24 : x
  2. Step 2: Convert to fraction form
    572.24/857.64 = 410.24/x
  3. Step 3: Cross multiply
    572.24x = 857.64 × 410.24
  4. Step 4: Simplify right side
    572.24x = 351,838.23
  5. Step 5: Solve for x
    x = 351,838.23/572.24
  6. Step 6: Final answer
    x = 614.84

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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.