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Finding the Fourth Proportional to 658.82, 909.24 and 501.90

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Solution

The fourth proportional to 658.82, 909.24 and 501.90 is: 692.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    658.82 : 909.24 = 501.90 : x
  2. Step 2: Convert to fraction form
    658.82/909.24 = 501.90/x
  3. Step 3: Cross multiply
    658.82x = 909.24 × 501.90
  4. Step 4: Simplify right side
    658.82x = 456,347.56
  5. Step 5: Solve for x
    x = 456,347.56/658.82
  6. Step 6: Final answer
    x = 692.67

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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.