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Finding the Fourth Proportional to 536.87, 741.35 and 362.72

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Solution

The fourth proportional to 536.87, 741.35 and 362.72 is: 500.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    536.87 : 741.35 = 362.72 : x
  2. Step 2: Convert to fraction form
    536.87/741.35 = 362.72/x
  3. Step 3: Cross multiply
    536.87x = 741.35 × 362.72
  4. Step 4: Simplify right side
    536.87x = 268,902.47
  5. Step 5: Solve for x
    x = 268,902.47/536.87
  6. Step 6: Final answer
    x = 500.87

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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.