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Finding the Fourth Proportional to 577.66, 865.59 and 317.44

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Solution

The fourth proportional to 577.66, 865.59 and 317.44 is: 475.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    577.66 : 865.59 = 317.44 : x
  2. Step 2: Convert to fraction form
    577.66/865.59 = 317.44/x
  3. Step 3: Cross multiply
    577.66x = 865.59 × 317.44
  4. Step 4: Simplify right side
    577.66x = 274,772.89
  5. Step 5: Solve for x
    x = 274,772.89/577.66
  6. Step 6: Final answer
    x = 475.67

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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.