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Finding the Fourth Proportional to 692.32, 955.20 and 412.42

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Solution

The fourth proportional to 692.32, 955.20 and 412.42 is: 569.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    692.32 : 955.20 = 412.42 : x
  2. Step 2: Convert to fraction form
    692.32/955.20 = 412.42/x
  3. Step 3: Cross multiply
    692.32x = 955.20 × 412.42
  4. Step 4: Simplify right side
    692.32x = 393,943.58
  5. Step 5: Solve for x
    x = 393,943.58/692.32
  6. Step 6: Final answer
    x = 569.02

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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.