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Finding the Fourth Proportional to 678.93, 937.16 and 451.76

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Solution

The fourth proportional to 678.93, 937.16 and 451.76 is: 623.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    678.93 : 937.16 = 451.76 : x
  2. Step 2: Convert to fraction form
    678.93/937.16 = 451.76/x
  3. Step 3: Cross multiply
    678.93x = 937.16 × 451.76
  4. Step 4: Simplify right side
    678.93x = 423,364.46
  5. Step 5: Solve for x
    x = 423,364.46/678.93
  6. Step 6: Final answer
    x = 623.58

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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.