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Finding the Fourth Proportional to 537.84, 807.24 and 416.88

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Solution

The fourth proportional to 537.84, 807.24 and 416.88 is: 625.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    537.84 : 807.24 = 416.88 : x
  2. Step 2: Convert to fraction form
    537.84/807.24 = 416.88/x
  3. Step 3: Cross multiply
    537.84x = 807.24 × 416.88
  4. Step 4: Simplify right side
    537.84x = 336,522.21
  5. Step 5: Solve for x
    x = 336,522.21/537.84
  6. Step 6: Final answer
    x = 625.69

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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.