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Finding the Fourth Proportional to 722.25, 996.64 and 456.77

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Solution

The fourth proportional to 722.25, 996.64 and 456.77 is: 630.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    722.25 : 996.64 = 456.77 : x
  2. Step 2: Convert to fraction form
    722.25/996.64 = 456.77/x
  3. Step 3: Cross multiply
    722.25x = 996.64 × 456.77
  4. Step 4: Simplify right side
    722.25x = 455,236.60
  5. Step 5: Solve for x
    x = 455,236.60/722.25
  6. Step 6: Final answer
    x = 630.30

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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.