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Finding the Fourth Proportional to 692.46, 955.35 and 430.38

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Solution

The fourth proportional to 692.46, 955.35 and 430.38 is: 593.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    692.46 : 955.35 = 430.38 : x
  2. Step 2: Convert to fraction form
    692.46/955.35 = 430.38/x
  3. Step 3: Cross multiply
    692.46x = 955.35 × 430.38
  4. Step 4: Simplify right side
    692.46x = 411,163.53
  5. Step 5: Solve for x
    x = 411,163.53/692.46
  6. Step 6: Final answer
    x = 593.77

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Half scale
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Double scale
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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.