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Finding the Fourth Proportional to 692.25, 955.61 and 459.51

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Solution

The fourth proportional to 692.25, 955.61 and 459.51 is: 634.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    692.25 : 955.61 = 459.51 : x
  2. Step 2: Convert to fraction form
    692.25/955.61 = 459.51/x
  3. Step 3: Cross multiply
    692.25x = 955.61 × 459.51
  4. Step 4: Simplify right side
    692.25x = 439,110.05
  5. Step 5: Solve for x
    x = 439,110.05/692.25
  6. Step 6: Final answer
    x = 634.32

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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.