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Finding the Fourth Proportional to 501.61, 692.31 and 291.75

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Solution

The fourth proportional to 501.61, 692.31 and 291.75 is: 402.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    501.61 : 692.31 = 291.75 : x
  2. Step 2: Convert to fraction form
    501.61/692.31 = 291.75/x
  3. Step 3: Cross multiply
    501.61x = 692.31 × 291.75
  4. Step 4: Simplify right side
    501.61x = 201,981.44
  5. Step 5: Solve for x
    x = 201,981.44/501.61
  6. Step 6: Final answer
    x = 402.67

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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.