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Finding the Fourth Proportional to 471.70, 703.67 and 417.70

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Solution

The fourth proportional to 471.70, 703.67 and 417.70 is: 623.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    471.70 : 703.67 = 417.70 : x
  2. Step 2: Convert to fraction form
    471.70/703.67 = 417.70/x
  3. Step 3: Cross multiply
    471.70x = 703.67 × 417.70
  4. Step 4: Simplify right side
    471.70x = 293,922.96
  5. Step 5: Solve for x
    x = 293,922.96/471.70
  6. Step 6: Final answer
    x = 623.11

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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.