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Finding the Fourth Proportional to 420.99, 628.13 and 417.75

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Solution

The fourth proportional to 420.99, 628.13 and 417.75 is: 623.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    420.99 : 628.13 = 417.75 : x
  2. Step 2: Convert to fraction form
    420.99/628.13 = 417.75/x
  3. Step 3: Cross multiply
    420.99x = 628.13 × 417.75
  4. Step 4: Simplify right side
    420.99x = 262,401.31
  5. Step 5: Solve for x
    x = 262,401.31/420.99
  6. Step 6: Final answer
    x = 623.30

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.