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Finding the Fourth Proportional to 708.76, 977.88 and 446.68

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Solution

The fourth proportional to 708.76, 977.88 and 446.68 is: 616.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    708.76 : 977.88 = 446.68 : x
  2. Step 2: Convert to fraction form
    708.76/977.88 = 446.68/x
  3. Step 3: Cross multiply
    708.76x = 977.88 × 446.68
  4. Step 4: Simplify right side
    708.76x = 436,799.44
  5. Step 5: Solve for x
    x = 436,799.44/708.76
  6. Step 6: Final answer
    x = 616.29

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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.