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Finding the Fourth Proportional to 536.88, 741.12 and 362.28

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Solution

The fourth proportional to 536.88, 741.12 and 362.28 is: 500.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    536.88 : 741.12 = 362.28 : x
  2. Step 2: Convert to fraction form
    536.88/741.12 = 362.28/x
  3. Step 3: Cross multiply
    536.88x = 741.12 × 362.28
  4. Step 4: Simplify right side
    536.88x = 268,492.95
  5. Step 5: Solve for x
    x = 268,492.95/536.88
  6. Step 6: Final answer
    x = 500.10

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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.