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Finding the Fourth Proportional to 612.88, 918.06 and 457

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Solution

The fourth proportional to 612.88, 918.06 and 457 is: 684.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    612.88 : 918.06 = 457 : x
  2. Step 2: Convert to fraction form
    612.88/918.06 = 457/x
  3. Step 3: Cross multiply
    612.88x = 918.06 × 457
  4. Step 4: Simplify right side
    612.88x = 419,553.42
  5. Step 5: Solve for x
    x = 419,553.42/612.88
  6. Step 6: Final answer
    x = 684.56

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.