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Finding the Fourth Proportional to 519.30, 714.89 and 450.35

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Solution

The fourth proportional to 519.30, 714.89 and 450.35 is: 619.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    519.30 : 714.89 = 450.35 : x
  2. Step 2: Convert to fraction form
    519.30/714.89 = 450.35/x
  3. Step 3: Cross multiply
    519.30x = 714.89 × 450.35
  4. Step 4: Simplify right side
    519.30x = 321,950.71
  5. Step 5: Solve for x
    x = 321,950.71/519.30
  6. Step 6: Final answer
    x = 619.97

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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.