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Finding the Fourth Proportional to 557.31, 763.51 and 536.54

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Solution

The fourth proportional to 557.31, 763.51 and 536.54 is: 735.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    557.31 : 763.51 = 536.54 : x
  2. Step 2: Convert to fraction form
    557.31/763.51 = 536.54/x
  3. Step 3: Cross multiply
    557.31x = 763.51 × 536.54
  4. Step 4: Simplify right side
    557.31x = 409,653.80
  5. Step 5: Solve for x
    x = 409,653.80/557.31
  6. Step 6: Final answer
    x = 735.05

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.