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Finding the Fourth Proportional to 536.98, 740.17 and 362.02

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Solution

The fourth proportional to 536.98, 740.17 and 362.02 is: 499.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    536.98 : 740.17 = 362.02 : x
  2. Step 2: Convert to fraction form
    536.98/740.17 = 362.02/x
  3. Step 3: Cross multiply
    536.98x = 740.17 × 362.02
  4. Step 4: Simplify right side
    536.98x = 267,956.34
  5. Step 5: Solve for x
    x = 267,956.34/536.98
  6. Step 6: Final answer
    x = 499.01

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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.