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Finding the Fourth Proportional to 517.00, 774.59 and 430.88

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Solution

The fourth proportional to 517.00, 774.59 and 430.88 is: 645.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    517.00 : 774.59 = 430.88 : x
  2. Step 2: Convert to fraction form
    517.00/774.59 = 430.88/x
  3. Step 3: Cross multiply
    517.00x = 774.59 × 430.88
  4. Step 4: Simplify right side
    517.00x = 333,758.35
  5. Step 5: Solve for x
    x = 333,758.35/517.00
  6. Step 6: Final answer
    x = 645.57

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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.