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Finding the Fourth Proportional to 536.76, 740.70 and 362.16

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Solution

The fourth proportional to 536.76, 740.70 and 362.16 is: 499.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    536.76 : 740.70 = 362.16 : x
  2. Step 2: Convert to fraction form
    536.76/740.70 = 362.16/x
  3. Step 3: Cross multiply
    536.76x = 740.70 × 362.16
  4. Step 4: Simplify right side
    536.76x = 268,251.91
  5. Step 5: Solve for x
    x = 268,251.91/536.76
  6. Step 6: Final answer
    x = 499.76

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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.