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Finding the Fourth Proportional to 501.84, 692.61 and 371.19

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Solution

The fourth proportional to 501.84, 692.61 and 371.19 is: 512.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    501.84 : 692.61 = 371.19 : x
  2. Step 2: Convert to fraction form
    501.84/692.61 = 371.19/x
  3. Step 3: Cross multiply
    501.84x = 692.61 × 371.19
  4. Step 4: Simplify right side
    501.84x = 257,089.91
  5. Step 5: Solve for x
    x = 257,089.91/501.84
  6. Step 6: Final answer
    x = 512.29

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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.