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Finding the Fourth Proportional to 591.66, 888.09 and 417.78

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Solution

The fourth proportional to 591.66, 888.09 and 417.78 is: 627.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    591.66 : 888.09 = 417.78 : x
  2. Step 2: Convert to fraction form
    591.66/888.09 = 417.78/x
  3. Step 3: Cross multiply
    591.66x = 888.09 × 417.78
  4. Step 4: Simplify right side
    591.66x = 371,026.24
  5. Step 5: Solve for x
    x = 371,026.24/591.66
  6. Step 6: Final answer
    x = 627.09

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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.