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Finding the Fourth Proportional to 469.27, 703.21 and 418.01

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Solution

The fourth proportional to 469.27, 703.21 and 418.01 is: 626.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    469.27 : 703.21 = 418.01 : x
  2. Step 2: Convert to fraction form
    469.27/703.21 = 418.01/x
  3. Step 3: Cross multiply
    469.27x = 703.21 × 418.01
  4. Step 4: Simplify right side
    469.27x = 293,948.81
  5. Step 5: Solve for x
    x = 293,948.81/469.27
  6. Step 6: Final answer
    x = 626.40

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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.