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Finding the Fourth Proportional to 668.41, 922.34 and 458.77

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Solution

The fourth proportional to 668.41, 922.34 and 458.77 is: 633.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    668.41 : 922.34 = 458.77 : x
  2. Step 2: Convert to fraction form
    668.41/922.34 = 458.77/x
  3. Step 3: Cross multiply
    668.41x = 922.34 × 458.77
  4. Step 4: Simplify right side
    668.41x = 423,137.32
  5. Step 5: Solve for x
    x = 423,137.32/668.41
  6. Step 6: Final answer
    x = 633.05

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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.