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Finding the Fourth Proportional to 501.29, 692.07 and 336.05

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Solution

The fourth proportional to 501.29, 692.07 and 336.05 is: 463.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    501.29 : 692.07 = 336.05 : x
  2. Step 2: Convert to fraction form
    501.29/692.07 = 336.05/x
  3. Step 3: Cross multiply
    501.29x = 692.07 × 336.05
  4. Step 4: Simplify right side
    501.29x = 232,570.12
  5. Step 5: Solve for x
    x = 232,570.12/501.29
  6. Step 6: Final answer
    x = 463.94

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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.