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Finding the Fourth Proportional to 536.10, 805.77 and 354.12

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Solution

The fourth proportional to 536.10, 805.77 and 354.12 is: 532.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    536.10 : 805.77 = 354.12 : x
  2. Step 2: Convert to fraction form
    536.10/805.77 = 354.12/x
  3. Step 3: Cross multiply
    536.10x = 805.77 × 354.12
  4. Step 4: Simplify right side
    536.10x = 285,339.27
  5. Step 5: Solve for x
    x = 285,339.27/536.10
  6. Step 6: Final answer
    x = 532.25

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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.