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Finding the Fourth Proportional to 577.04, 865.99 and 345.23

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Solution

The fourth proportional to 577.04, 865.99 and 345.23 is: 518.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    577.04 : 865.99 = 345.23 : x
  2. Step 2: Convert to fraction form
    577.04/865.99 = 345.23/x
  3. Step 3: Cross multiply
    577.04x = 865.99 × 345.23
  4. Step 4: Simplify right side
    577.04x = 298,965.08
  5. Step 5: Solve for x
    x = 298,965.08/577.04
  6. Step 6: Final answer
    x = 518.11

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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.