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Finding the Fourth Proportional to 565.16, 774.08 and 531.95

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Solution

The fourth proportional to 565.16, 774.08 and 531.95 is: 728.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    565.16 : 774.08 = 531.95 : x
  2. Step 2: Convert to fraction form
    565.16/774.08 = 531.95/x
  3. Step 3: Cross multiply
    565.16x = 774.08 × 531.95
  4. Step 4: Simplify right side
    565.16x = 411,769.20
  5. Step 5: Solve for x
    x = 411,769.20/565.16
  6. Step 6: Final answer
    x = 728.59

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.