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Finding the Fourth Proportional to 536.58, 741.30 and 458.70

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Solution

The fourth proportional to 536.58, 741.30 and 458.70 is: 633.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    536.58 : 741.30 = 458.70 : x
  2. Step 2: Convert to fraction form
    536.58/741.30 = 458.70/x
  3. Step 3: Cross multiply
    536.58x = 741.30 × 458.70
  4. Step 4: Simplify right side
    536.58x = 340,034.31
  5. Step 5: Solve for x
    x = 340,034.31/536.58
  6. Step 6: Final answer
    x = 633.71

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.