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Finding the Fourth Proportional to 709.90, 979.86 and 473.99

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Solution

The fourth proportional to 709.90, 979.86 and 473.99 is: 654.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    709.90 : 979.86 = 473.99 : x
  2. Step 2: Convert to fraction form
    709.90/979.86 = 473.99/x
  3. Step 3: Cross multiply
    709.90x = 979.86 × 473.99
  4. Step 4: Simplify right side
    709.90x = 464,440.72
  5. Step 5: Solve for x
    x = 464,440.72/709.90
  6. Step 6: Final answer
    x = 654.24

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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.