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Finding the Fourth Proportional to 536.60, 740.04 and 362.18

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Solution

The fourth proportional to 536.60, 740.04 and 362.18 is: 499.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    536.60 : 740.04 = 362.18 : x
  2. Step 2: Convert to fraction form
    536.60/740.04 = 362.18/x
  3. Step 3: Cross multiply
    536.60x = 740.04 × 362.18
  4. Step 4: Simplify right side
    536.60x = 268,028.18
  5. Step 5: Solve for x
    x = 268,028.18/536.60
  6. Step 6: Final answer
    x = 499.49

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Why These Related Problems?

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