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Finding the Fourth Proportional to 536.78, 805.32 and 383

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Solution

The fourth proportional to 536.78, 805.32 and 383 is: 574.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    536.78 : 805.32 = 383 : x
  2. Step 2: Convert to fraction form
    536.78/805.32 = 383/x
  3. Step 3: Cross multiply
    536.78x = 805.32 × 383
  4. Step 4: Simplify right side
    536.78x = 308,437.56
  5. Step 5: Solve for x
    x = 308,437.56/536.78
  6. Step 6: Final answer
    x = 574.61

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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.