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Finding the Fourth Proportional to 692.16, 955.14 and 412.40

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Solution

The fourth proportional to 692.16, 955.14 and 412.40 is: 569.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    692.16 : 955.14 = 412.40 : x
  2. Step 2: Convert to fraction form
    692.16/955.14 = 412.40/x
  3. Step 3: Cross multiply
    692.16x = 955.14 × 412.40
  4. Step 4: Simplify right side
    692.16x = 393,899.74
  5. Step 5: Solve for x
    x = 393,899.74/692.16
  6. Step 6: Final answer
    x = 569.09

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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.