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Finding the Fourth Proportional to 517.52, 774.80 and 430.08

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Solution

The fourth proportional to 517.52, 774.80 and 430.08 is: 643.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    517.52 : 774.80 = 430.08 : x
  2. Step 2: Convert to fraction form
    517.52/774.80 = 430.08/x
  3. Step 3: Cross multiply
    517.52x = 774.80 × 430.08
  4. Step 4: Simplify right side
    517.52x = 333,225.98
  5. Step 5: Solve for x
    x = 333,225.98/517.52
  6. Step 6: Final answer
    x = 643.89

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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.