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Finding the Fourth Proportional to 607.14, 837.78 and 345.14

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Solution

The fourth proportional to 607.14, 837.78 and 345.14 is: 476.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    607.14 : 837.78 = 345.14 : x
  2. Step 2: Convert to fraction form
    607.14/837.78 = 345.14/x
  3. Step 3: Cross multiply
    607.14x = 837.78 × 345.14
  4. Step 4: Simplify right side
    607.14x = 289,151.39
  5. Step 5: Solve for x
    x = 289,151.39/607.14
  6. Step 6: Final answer
    x = 476.25

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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.