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Finding the Fourth Proportional to 514.82, 708.85 and 466.22

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Solution

The fourth proportional to 514.82, 708.85 and 466.22 is: 641.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    514.82 : 708.85 = 466.22 : x
  2. Step 2: Convert to fraction form
    514.82/708.85 = 466.22/x
  3. Step 3: Cross multiply
    514.82x = 708.85 × 466.22
  4. Step 4: Simplify right side
    514.82x = 330,482.40
  5. Step 5: Solve for x
    x = 330,482.40/514.82
  6. Step 6: Final answer
    x = 641.93

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.