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Finding the Fourth Proportional to 692.60, 955.98 and 430.47

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Solution

The fourth proportional to 692.60, 955.98 and 430.47 is: 594.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    692.60 : 955.98 = 430.47 : x
  2. Step 2: Convert to fraction form
    692.60/955.98 = 430.47/x
  3. Step 3: Cross multiply
    692.60x = 955.98 × 430.47
  4. Step 4: Simplify right side
    692.60x = 411,520.71
  5. Step 5: Solve for x
    x = 411,520.71/692.60
  6. Step 6: Final answer
    x = 594.17

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.