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Finding the Fourth Proportional to 420.84, 626.22 and 419.40

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Solution

The fourth proportional to 420.84, 626.22 and 419.40 is: 624.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    420.84 : 626.22 = 419.40 : x
  2. Step 2: Convert to fraction form
    420.84/626.22 = 419.40/x
  3. Step 3: Cross multiply
    420.84x = 626.22 × 419.40
  4. Step 4: Simplify right side
    420.84x = 262,636.67
  5. Step 5: Solve for x
    x = 262,636.67/420.84
  6. Step 6: Final answer
    x = 624.08

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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.