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Finding the Fourth Proportional to 612.48, 845.24 and 416.08

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Solution

The fourth proportional to 612.48, 845.24 and 416.08 is: 574.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    612.48 : 845.24 = 416.08 : x
  2. Step 2: Convert to fraction form
    612.48/845.24 = 416.08/x
  3. Step 3: Cross multiply
    612.48x = 845.24 × 416.08
  4. Step 4: Simplify right side
    612.48x = 351,687.46
  5. Step 5: Solve for x
    x = 351,687.46/612.48
  6. Step 6: Final answer
    x = 574.20

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Why These Related Problems?

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