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Finding the Fourth Proportional to 502.13, 692.93 and 295.13

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Solution

The fourth proportional to 502.13, 692.93 and 295.13 is: 407.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    502.13 : 692.93 = 295.13 : x
  2. Step 2: Convert to fraction form
    502.13/692.93 = 295.13/x
  3. Step 3: Cross multiply
    502.13x = 692.93 × 295.13
  4. Step 4: Simplify right side
    502.13x = 204,501.70
  5. Step 5: Solve for x
    x = 204,501.70/502.13
  6. Step 6: Final answer
    x = 407.27

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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.