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Finding the Fourth Proportional to 501.50, 692.01 and 314.93

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Solution

The fourth proportional to 501.50, 692.01 and 314.93 is: 434.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    501.50 : 692.01 = 314.93 : x
  2. Step 2: Convert to fraction form
    501.50/692.01 = 314.93/x
  3. Step 3: Cross multiply
    501.50x = 692.01 × 314.93
  4. Step 4: Simplify right side
    501.50x = 217,936.44
  5. Step 5: Solve for x
    x = 217,936.44/501.50
  6. Step 6: Final answer
    x = 434.57

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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.