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Finding the Fourth Proportional to 536.71, 803.55 and 341.23

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Solution

The fourth proportional to 536.71, 803.55 and 341.23 is: 510.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    536.71 : 803.55 = 341.23 : x
  2. Step 2: Convert to fraction form
    536.71/803.55 = 341.23/x
  3. Step 3: Cross multiply
    536.71x = 803.55 × 341.23
  4. Step 4: Simplify right side
    536.71x = 274,196.22
  5. Step 5: Solve for x
    x = 274,196.22/536.71
  6. Step 6: Final answer
    x = 510.88

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.