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Finding the Fourth Proportional to 612.16, 843.92 and 425.36

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Solution

The fourth proportional to 612.16, 843.92 and 425.36 is: 586.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    612.16 : 843.92 = 425.36 : x
  2. Step 2: Convert to fraction form
    612.16/843.92 = 425.36/x
  3. Step 3: Cross multiply
    612.16x = 843.92 × 425.36
  4. Step 4: Simplify right side
    612.16x = 358,969.81
  5. Step 5: Solve for x
    x = 358,969.81/612.16
  6. Step 6: Final answer
    x = 586.40

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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.