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Finding the Fourth Proportional to 692.93, 956.14 and 430.85

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Solution

The fourth proportional to 692.93, 956.14 and 430.85 is: 594.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    692.93 : 956.14 = 430.85 : x
  2. Step 2: Convert to fraction form
    692.93/956.14 = 430.85/x
  3. Step 3: Cross multiply
    692.93x = 956.14 × 430.85
  4. Step 4: Simplify right side
    692.93x = 411,945.98
  5. Step 5: Solve for x
    x = 411,945.98/692.93
  6. Step 6: Final answer
    x = 594.50

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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.