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Finding the Fourth Proportional to 536.58, 740.70 and 362.03

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Solution

The fourth proportional to 536.58, 740.70 and 362.03 is: 499.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    536.58 : 740.70 = 362.03 : x
  2. Step 2: Convert to fraction form
    536.58/740.70 = 362.03/x
  3. Step 3: Cross multiply
    536.58x = 740.70 × 362.03
  4. Step 4: Simplify right side
    536.58x = 268,151.92
  5. Step 5: Solve for x
    x = 268,151.92/536.58
  6. Step 6: Final answer
    x = 499.74

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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.