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Finding the Fourth Proportional to 502.34, 692.51 and 336.50

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Solution

The fourth proportional to 502.34, 692.51 and 336.50 is: 463.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    502.34 : 692.51 = 336.50 : x
  2. Step 2: Convert to fraction form
    502.34/692.51 = 336.50/x
  3. Step 3: Cross multiply
    502.34x = 692.51 × 336.50
  4. Step 4: Simplify right side
    502.34x = 233,024.47
  5. Step 5: Solve for x
    x = 233,024.47/502.34
  6. Step 6: Final answer
    x = 463.88

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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.