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Finding the Fourth Proportional to 709.94, 978.16 and 476.66

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Solution

The fourth proportional to 709.94, 978.16 and 476.66 is: 656.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    709.94 : 978.16 = 476.66 : x
  2. Step 2: Convert to fraction form
    709.94/978.16 = 476.66/x
  3. Step 3: Cross multiply
    709.94x = 978.16 × 476.66
  4. Step 4: Simplify right side
    709.94x = 466,249.75
  5. Step 5: Solve for x
    x = 466,249.75/709.94
  6. Step 6: Final answer
    x = 656.75

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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.