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Finding the Fourth Proportional to 709.84, 979.32 and 448.21

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Solution

The fourth proportional to 709.84, 979.32 and 448.21 is: 618.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    709.84 : 979.32 = 448.21 : x
  2. Step 2: Convert to fraction form
    709.84/979.32 = 448.21/x
  3. Step 3: Cross multiply
    709.84x = 979.32 × 448.21
  4. Step 4: Simplify right side
    709.84x = 438,941.02
  5. Step 5: Solve for x
    x = 438,941.02/709.84
  6. Step 6: Final answer
    x = 618.37

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1.5x scale

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.