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Finding the Fourth Proportional to 709.49, 978.90 and 473.78

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Solution

The fourth proportional to 709.49, 978.90 and 473.78 is: 653.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    709.49 : 978.90 = 473.78 : x
  2. Step 2: Convert to fraction form
    709.49/978.90 = 473.78/x
  3. Step 3: Cross multiply
    709.49x = 978.90 × 473.78
  4. Step 4: Simplify right side
    709.49x = 463,783.24
  5. Step 5: Solve for x
    x = 463,783.24/709.49
  6. Step 6: Final answer
    x = 653.69

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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.