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Finding the Fourth Proportional to 607.14, 837.81 and 476.46

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Solution

The fourth proportional to 607.14, 837.81 and 476.46 is: 657.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    607.14 : 837.81 = 476.46 : x
  2. Step 2: Convert to fraction form
    607.14/837.81 = 476.46/x
  3. Step 3: Cross multiply
    607.14x = 837.81 × 476.46
  4. Step 4: Simplify right side
    607.14x = 399,182.95
  5. Step 5: Solve for x
    x = 399,182.95/607.14
  6. Step 6: Final answer
    x = 657.48

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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.