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Finding the Fourth Proportional to 692.96, 956.28 and 430.96

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Solution

The fourth proportional to 692.96, 956.28 and 430.96 is: 594.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    692.96 : 956.28 = 430.96 : x
  2. Step 2: Convert to fraction form
    692.96/956.28 = 430.96/x
  3. Step 3: Cross multiply
    692.96x = 956.28 × 430.96
  4. Step 4: Simplify right side
    692.96x = 412,118.43
  5. Step 5: Solve for x
    x = 412,118.43/692.96
  6. Step 6: Final answer
    x = 594.72

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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.