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Finding the Fourth Proportional to 572.95, 857.13 and 496.77

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Solution

The fourth proportional to 572.95, 857.13 and 496.77 is: 743.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    572.95 : 857.13 = 496.77 : x
  2. Step 2: Convert to fraction form
    572.95/857.13 = 496.77/x
  3. Step 3: Cross multiply
    572.95x = 857.13 × 496.77
  4. Step 4: Simplify right side
    572.95x = 425,796.47
  5. Step 5: Solve for x
    x = 425,796.47/572.95
  6. Step 6: Final answer
    x = 743.17

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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.