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Finding the Fourth Proportional to 534.24, 736.86 and 357.14

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Solution

The fourth proportional to 534.24, 736.86 and 357.14 is: 492.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    534.24 : 736.86 = 357.14 : x
  2. Step 2: Convert to fraction form
    534.24/736.86 = 357.14/x
  3. Step 3: Cross multiply
    534.24x = 736.86 × 357.14
  4. Step 4: Simplify right side
    534.24x = 263,158.50
  5. Step 5: Solve for x
    x = 263,158.50/534.24
  6. Step 6: Final answer
    x = 492.58

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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.