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Finding the Fourth Proportional to 708.02, 977.56 and 446.12

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Solution

The fourth proportional to 708.02, 977.56 and 446.12 is: 615.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    708.02 : 977.56 = 446.12 : x
  2. Step 2: Convert to fraction form
    708.02/977.56 = 446.12/x
  3. Step 3: Cross multiply
    708.02x = 977.56 × 446.12
  4. Step 4: Simplify right side
    708.02x = 436,109.07
  5. Step 5: Solve for x
    x = 436,109.07/708.02
  6. Step 6: Final answer
    x = 615.96

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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.