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Finding the Fourth Proportional to 571.02, 857.10 and 385.89

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Solution

The fourth proportional to 571.02, 857.10 and 385.89 is: 579.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    571.02 : 857.10 = 385.89 : x
  2. Step 2: Convert to fraction form
    571.02/857.10 = 385.89/x
  3. Step 3: Cross multiply
    571.02x = 857.10 × 385.89
  4. Step 4: Simplify right side
    571.02x = 330,746.32
  5. Step 5: Solve for x
    x = 330,746.32/571.02
  6. Step 6: Final answer
    x = 579.22

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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.