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Finding the Fourth Proportional to 692.29, 954.70 and 430.39

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Solution

The fourth proportional to 692.29, 954.70 and 430.39 is: 593.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    692.29 : 954.70 = 430.39 : x
  2. Step 2: Convert to fraction form
    692.29/954.70 = 430.39/x
  3. Step 3: Cross multiply
    692.29x = 954.70 × 430.39
  4. Step 4: Simplify right side
    692.29x = 410,893.33
  5. Step 5: Solve for x
    x = 410,893.33/692.29
  6. Step 6: Final answer
    x = 593.53

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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.