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Finding the Fourth Proportional to 502.93, 692.50 and 440.41

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Solution

The fourth proportional to 502.93, 692.50 and 440.41 is: 606.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    502.93 : 692.50 = 440.41 : x
  2. Step 2: Convert to fraction form
    502.93/692.50 = 440.41/x
  3. Step 3: Cross multiply
    502.93x = 692.50 × 440.41
  4. Step 4: Simplify right side
    502.93x = 304,983.93
  5. Step 5: Solve for x
    x = 304,983.93/502.93
  6. Step 6: Final answer
    x = 606.41

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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.