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Finding the Fourth Proportional to 501.78, 692.63 and 354.49

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Solution

The fourth proportional to 501.78, 692.63 and 354.49 is: 489.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    501.78 : 692.63 = 354.49 : x
  2. Step 2: Convert to fraction form
    501.78/692.63 = 354.49/x
  3. Step 3: Cross multiply
    501.78x = 692.63 × 354.49
  4. Step 4: Simplify right side
    501.78x = 245,530.41
  5. Step 5: Solve for x
    x = 245,530.41/501.78
  6. Step 6: Final answer
    x = 489.32

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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.