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Finding the Fourth Proportional to 625.98, 864.12 and 416.16

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Solution

The fourth proportional to 625.98, 864.12 and 416.16 is: 574.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    625.98 : 864.12 = 416.16 : x
  2. Step 2: Convert to fraction form
    625.98/864.12 = 416.16/x
  3. Step 3: Cross multiply
    625.98x = 864.12 × 416.16
  4. Step 4: Simplify right side
    625.98x = 359,612.18
  5. Step 5: Solve for x
    x = 359,612.18/625.98
  6. Step 6: Final answer
    x = 574.48

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.