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Finding the Fourth Proportional to 692.02, 954.51 and 430.18

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Solution

The fourth proportional to 692.02, 954.51 and 430.18 is: 593.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    692.02 : 954.51 = 430.18 : x
  2. Step 2: Convert to fraction form
    692.02/954.51 = 430.18/x
  3. Step 3: Cross multiply
    692.02x = 954.51 × 430.18
  4. Step 4: Simplify right side
    692.02x = 410,611.11
  5. Step 5: Solve for x
    x = 410,611.11/692.02
  6. Step 6: Final answer
    x = 593.35

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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.