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Finding the Fourth Proportional to 536.23, 805.16 and 475.75

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Solution

The fourth proportional to 536.23, 805.16 and 475.75 is: 714.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    536.23 : 805.16 = 475.75 : x
  2. Step 2: Convert to fraction form
    536.23/805.16 = 475.75/x
  3. Step 3: Cross multiply
    536.23x = 805.16 × 475.75
  4. Step 4: Simplify right side
    536.23x = 383,054.87
  5. Step 5: Solve for x
    x = 383,054.87/536.23
  6. Step 6: Final answer
    x = 714.35

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